2016, 2nd edition., Student mathematical library, ISBN 1470427222, Volume 79., viii, 239

Group theory and generalizations | Research exposition (monographs, survey articles) | Matrix groups | Representation theory of groups | General properties and structure of real Lie groups | Compact groups | Lie groups | Linear algebraic groups and related topics | Linear algebraic groups over the reals, the complexes, the quaternions | Topological groups, Lie groups | Group rings of finite groups and their modules | Linear algebraic groups

Book

2.
Geometry and dynamics in Gromov hyperbolic metric spaces

: with an emphasis on non-proper settings

2017, Mathematical surveys and monographs, ISBN 9781470434656, Volume 218, xxxv, 281 pages

Geometry, Hyperbolic | Ergodic theory | Measure and integration | Fuchsian groups and their generalizations | Infinite-dimensional Lie groups and their Lie algebras: general properties | Hyperbolic groups and nonpositively curved groups | Special aspects of infinite or finite groups | Semigroups of transformations, etc | Metric spaces | Conformal densities and Hausdorff dimension | Structure and classification of infinite or finite groups | Relations with number theory and harmonic analysis | Classical measure theory | Group theory and generalizations | Other groups of matrices | Complex dynamical systems | Lie groups | Hyperbolic spaces | Semigroups | Groups acting on trees | Topological groups, Lie groups | Dynamical systems and ergodic theory | Hausdorff and packing measures

Book

2011, Mathematical surveys and monographs, ISBN 9780821844960, Volume 175, x, 298

Book

2002, Springer undergraduate mathematics series, ISBN 1852334703, xi, 330

Book

2017, University Lecture Series, ISBN 147044187X, Volume 69, 151 pages

Book

2017, ISBN 9780387794273, 1

This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact....

Commutative Rings and Algebras | Linear and Multilinear Algebras, Matrix Theory | Algebraic Geometry | Mathematics | Group Theory and Generalizations | Matrices | Group theory | Vector spaces

Commutative Rings and Algebras | Linear and Multilinear Algebras, Matrix Theory | Algebraic Geometry | Mathematics | Group Theory and Generalizations | Matrices | Group theory | Vector spaces

eBook

2019, ISBN 303897644X

Following the tremendous reception of our first volume on topological groups called ""Topological Groups: Yesterday, Today, and Tomorrow"", we now present our...

coarse structure | descriptive set theory | group representation | thick set | free topological group | character | selectively sequentially pseudocompact | separable topological group | quotient group | Chabauty topology | pseudo-?-bounded | topological group | free precompact Boolean group | right-angled Artin groups | Neretinâ€™s group | coarse space | ultrafilter space | endomorphism | separable | absolutely closed topological group | tree | strongly pseudocompact | Gromovâ€™s compactification | dynamical system | semigroup compactification | tame function | compact topological semigroup | vast set | space of closed subgroups | reflexive group | Lie group | matrix coefficient | maximal ideal | topological semigroup | ballean | continuous inverse algebra | extension | subgroup | Thompsonâ€™s group | scale | isomorphic embedding | arrow ultrafilter | H-space | paratopological group | pseudocompact | Ramsey ultrafilter | fibre bundle | locally compact group | product | large set in a group | Vietoris topology | topological group of compact exponent | Bourbaki uniformity | p-compact | mapping cylinder | syndetic set | p-adic Lie group | Boolean topological group | non-trivial convergent sequence | fixed point algebra | polish group topologies | varieties of coarse spaces | piecewise syndetic set | maximal space

coarse structure | descriptive set theory | group representation | thick set | free topological group | character | selectively sequentially pseudocompact | separable topological group | quotient group | Chabauty topology | pseudo-?-bounded | topological group | free precompact Boolean group | right-angled Artin groups | Neretinâ€™s group | coarse space | ultrafilter space | endomorphism | separable | absolutely closed topological group | tree | strongly pseudocompact | Gromovâ€™s compactification | dynamical system | semigroup compactification | tame function | compact topological semigroup | vast set | space of closed subgroups | reflexive group | Lie group | matrix coefficient | maximal ideal | topological semigroup | ballean | continuous inverse algebra | extension | subgroup | Thompsonâ€™s group | scale | isomorphic embedding | arrow ultrafilter | H-space | paratopological group | pseudocompact | Ramsey ultrafilter | fibre bundle | locally compact group | product | large set in a group | Vietoris topology | topological group of compact exponent | Bourbaki uniformity | p-compact | mapping cylinder | syndetic set | p-adic Lie group | Boolean topological group | non-trivial convergent sequence | fixed point algebra | polish group topologies | varieties of coarse spaces | piecewise syndetic set | maximal space

eBook

2013, Pure and applied undergraduate texts, ISBN 9780821891414, Volume 20, xiii, 362 pages

Measure and integration -- Instructional exposition (textbooks, tutorial papers, etc.) | Linear and multilinear algebra; matrix theory -- Instructional exposition (textbooks, tutorial papers, etc.) | Abstract harmonic analysis -- Instructional exposition (textbooks, tutorial papers, etc.) | Harmonic analysis on Euclidean spaces -- Instructional exposition (textbooks, tutorial papers, etc.) | Mathematical analysis | Real functions -- Instructional exposition (textbooks, tutorial papers, etc.) | Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.) | Topological groups, Lie groups -- Locally compact abelian groups (LCA groups) -- General properties and structure of LCA groups

Book

Inventiones mathematicae, ISSN 0020-9910, 11/2019, Volume 218, Issue 2, pp. 341 - 411

Since the 1970â€™s, physicists and mathematicians who study random matrices in the GUE or GOE models are aware of intriguing connections between integrals of...

Mathematics, general | Mathematics | MATHEMATICS | EQUATIONS | MODULI SPACE | LIMIT | UNITARY | DIMENSION | Physicists | Analysis | Enumeration | Integrals | Mapping | Commutators | Asymptotic methods | Matrix methods | Subgroups

Mathematics, general | Mathematics | MATHEMATICS | EQUATIONS | MODULI SPACE | LIMIT | UNITARY | DIMENSION | Physicists | Analysis | Enumeration | Integrals | Mapping | Commutators | Asymptotic methods | Matrix methods | Subgroups

Journal Article

2013, Chapman & Hall/CRC applied mathematics and nonlinear science series, ISBN 1439888582, xv, 316

This book presents a comprehensive treatment of nonnegative and M-matrices and their application in matrix analysis, stochastic processes, graph theory,...

Inverse problems (Differential equations) | Matrices

Inverse problems (Differential equations) | Matrices

Book

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 06/2012, Volume 45, Issue 23, pp. 233001 - 70

We present an overview of the theory of finite groups, with regard to their application as flavour symmetries in particle physics. In a general part, we...

DISCRETE SYMMETRY | FAMILY SYMMETRY | MODELS | PHYSICS, MULTIDISCIPLINARY | NEUTRINO MASS MATRIX | SUBGROUPS | PHYSICS, MATHEMATICAL | Fermions | Flavor (particle physics) | Mathematical analysis | Group theory | Tables | Exploration | Representations | Subgroups | Flavours

DISCRETE SYMMETRY | FAMILY SYMMETRY | MODELS | PHYSICS, MULTIDISCIPLINARY | NEUTRINO MASS MATRIX | SUBGROUPS | PHYSICS, MATHEMATICAL | Fermions | Flavor (particle physics) | Mathematical analysis | Group theory | Tables | Exploration | Representations | Subgroups | Flavours

Journal Article

12.
Full Text
Organic functional groups in the submicron aerosol at 82.5Â° N, 62.5Â° W from 2012 to 2014

Atmospheric Chemistry and Physics, ISSN 1680-7316, 03/2018, Volume 18, Issue 5, pp. 3269 - 3287

The first multi-year contributions from organic functional groups to the Arctic submicron aerosol are documented using 126Â weekly-integrated samples collected...

Aerosols | Environmental aspects | Distribution | Salts | Amines | Sulphates | Summer | Alcohol | Alkanes | Smoke | Matrix methods | Alcohols | Sediment transport | Regressions | Components | Ratios | Winter | Mathematical analysis | Weekly | Polar environments | Snow chemistry | Gas flaring | Carbonyls | Arctic aerosols | Biomass burning | Haze | Particulates | Spring | Burning | Emissions | Carbonyl groups | Acids | Alcoholic beverages | Particle transport | Sulfate | Transport | Arctic haze | Functional groups | Smoking

Aerosols | Environmental aspects | Distribution | Salts | Amines | Sulphates | Summer | Alcohol | Alkanes | Smoke | Matrix methods | Alcohols | Sediment transport | Regressions | Components | Ratios | Winter | Mathematical analysis | Weekly | Polar environments | Snow chemistry | Gas flaring | Carbonyls | Arctic aerosols | Biomass burning | Haze | Particulates | Spring | Burning | Emissions | Carbonyl groups | Acids | Alcoholic beverages | Particle transport | Sulfate | Transport | Arctic haze | Functional groups | Smoking

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 5/2011, Volume 304, Issue 1, pp. 69 - 93

Random matrix models generalize to Group Field Theories (GFT) whose Feynman graphs are dual to higher dimensional topological spaces. The perturbative...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | BETA-FUNCTION | 3-MANIFOLDS | SPIN FOAM MODELS | GENERALIZED MATRIX MODELS | PHYSICS, MATHEMATICAL | QUANTUM-GRAVITY | RENORMALIZATION

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | BETA-FUNCTION | 3-MANIFOLDS | SPIN FOAM MODELS | GENERALIZED MATRIX MODELS | PHYSICS, MATHEMATICAL | QUANTUM-GRAVITY | RENORMALIZATION

Journal Article

2012, Springer monographs in mathematics, ISBN 1489990062, 741

This book introduces Lie groups and their actions on manifolds and provides in-depth applications of fundamental principles, while remaining accessible to a...

Mathematics | Lie groups | Topological Groups

Mathematics | Lie groups | Topological Groups

eBook

Advances in Mathematics, ISSN 0001-8708, 04/2016, Volume 293, pp. 324 - 342

Given an arbitrary field F of characteristic 0, we study Lie bialgebra structures on sl(n,F), based on the description of the corresponding classical double....

Quantum group | Classical double | Lie bialgebra | r-matrix | Admissible triple | Brauer group | Quadratic field | R-matrix | MATHEMATICS | ALGEBRAS | Brauer | algebras | Mathematics | Matematik

Quantum group | Classical double | Lie bialgebra | r-matrix | Admissible triple | Brauer group | Quadratic field | R-matrix | MATHEMATICS | ALGEBRAS | Brauer | algebras | Mathematics | Matematik

Journal Article

Reviews of Modern Physics, ISSN 0034-6861, 01/2005, Volume 77, Issue 1, pp. 259 - 315

The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly...

QUANTUM SPIN CHAIN | DIMENSIONAL HUBBARD-MODEL | METAL-INSULATOR-TRANSITION | KONDO-LATTICE MODEL | STATE PHASE-DIAGRAM | NEAREST-NEIGHBOR INTERACTIONS | PHYSICS, MULTIDISCIPLINARY | T-J MODEL | ANTIFERROMAGNETIC HEISENBERG CHAIN | FULL CONFIGURATION-INTERACTION | HALDANE-GAP ANTIFERROMAGNETS | Hamiltonian systems | Research | Quantum chemistry | Analysis | Renormalization (Physics) | NUMERICAL ANALYSIS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ONE-DIMENSIONAL CALCULATIONS | ALGORITHMS | QUANTUM MECHANICS | THREE-DIMENSIONAL CALCULATIONS | TWO-DIMENSIONAL CALCULATIONS | ACCURACY | DENSITY MATRIX | HILBERT SPACE | NUCLEAR PHYSICS | QUANTUM INFORMATION | THERMODYNAMICS | INFORMATION THEORY | EQUILIBRIUM | TIME DEPENDENCE | RENORMALIZATION

QUANTUM SPIN CHAIN | DIMENSIONAL HUBBARD-MODEL | METAL-INSULATOR-TRANSITION | KONDO-LATTICE MODEL | STATE PHASE-DIAGRAM | NEAREST-NEIGHBOR INTERACTIONS | PHYSICS, MULTIDISCIPLINARY | T-J MODEL | ANTIFERROMAGNETIC HEISENBERG CHAIN | FULL CONFIGURATION-INTERACTION | HALDANE-GAP ANTIFERROMAGNETS | Hamiltonian systems | Research | Quantum chemistry | Analysis | Renormalization (Physics) | NUMERICAL ANALYSIS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ONE-DIMENSIONAL CALCULATIONS | ALGORITHMS | QUANTUM MECHANICS | THREE-DIMENSIONAL CALCULATIONS | TWO-DIMENSIONAL CALCULATIONS | ACCURACY | DENSITY MATRIX | HILBERT SPACE | NUCLEAR PHYSICS | QUANTUM INFORMATION | THERMODYNAMICS | INFORMATION THEORY | EQUILIBRIUM | TIME DEPENDENCE | RENORMALIZATION

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2011, Volume 2011, Issue 12, pp. 1 - 20

We discuss some general aspects of renormalization group flows in four dimensions. Every such flow can be reinterpreted in terms of a spontaneously broken...

Spontaneous Symmetry Breaking | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Spontaneous symmetry breaking | Renormalization group | SUPERSYMMETRIC GAUGE-THEORIES | C-THEOREM | FIELD-THEORIES | CONSEQUENCES | CONFORMAL ANOMALIES | PHYSICS, PARTICLES & FIELDS | Dilatons | Mathematical analysis | Matrix methods | Group theory | Anomalies | Symmetry | Physics - High Energy Physics - Theory

Spontaneous Symmetry Breaking | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Spontaneous symmetry breaking | Renormalization group | SUPERSYMMETRIC GAUGE-THEORIES | C-THEOREM | FIELD-THEORIES | CONSEQUENCES | CONFORMAL ANOMALIES | PHYSICS, PARTICLES & FIELDS | Dilatons | Mathematical analysis | Matrix methods | Group theory | Anomalies | Symmetry | Physics - High Energy Physics - Theory

Journal Article