2014, Mathematical surveys and monographs, ISBN 9781470416973, Volume 199, vi, 183

Noncommutative function spaces | Noncommutative algebras | Sequences, series, summability -- Convergence and divergence of infinite limiting processes -- Convergence and divergence of series and sequences | Operator theory -- Linear spaces and algebras of operators -- Operator spaces (= matricially normed spaces) | Functional analysis | Operator theory -- General theory of linear operators -- Functional calculus | Nonassociative rings and algebras -- General nonassociative rings -- Free algebras

Book

2015, University lecture series, ISBN 9781470423971, Volume 63., x, 114

Book

Journal of Algebra, ISSN 0021-8693, 02/2016, Volume 447, pp. 1 - 30

We introduce the gonosomal algebra. Gonosomal algebra extends the evolution algebra of the bisexual population (EABP) defined by Ladra and Rozikov. We show...

Non-commutative duplication | Sex determining systems | Gonosomal gene | Commutative duplication | Baric algebra | Bisexual population | Dibaric algebra | 17D92 | MATHEMATICS | EVOLUTION ALGEBRA | SEX DETERMINATION | Berle algebra | ZYGOTIC ALGEBRA | Algebra

Non-commutative duplication | Sex determining systems | Gonosomal gene | Commutative duplication | Baric algebra | Bisexual population | Dibaric algebra | 17D92 | MATHEMATICS | EVOLUTION ALGEBRA | SEX DETERMINATION | Berle algebra | ZYGOTIC ALGEBRA | Algebra

Journal Article

2008, Graduate studies in mathematics, ISBN 082184153X, Volume 91, xxv, 648

Book

Physics Letters B, ISSN 0370-2693, 11/2003, Volume 574, Issue 3-4, pp. 276 - 282

A quantum deformation of the conformal algebra of the Minkowskian spacetime in (3+1) dimensions is identified with a deformation of the (4+1)-dimensional AdS...

Quantum algebras | Minkowski | Poincaré | Deformation | Non-commutative spacetime | Anti-de Sitter | Anti-de Sitter | SYMMETRIES | BOOST | PHYSICS, MULTIDISCIPLINARY | DOUBLY-SPECIAL RELATIVITY | K-POINCARE | LENGTH | PLANCK-SCALE | Poincare | KAPPA-POINCARE ALGEBRA | anti-de sitter | DEFORMATIONS | deformation | non-commutative spacetime | quantum algebras | TRANSFORMATIONS | Algebra

Quantum algebras | Minkowski | Poincaré | Deformation | Non-commutative spacetime | Anti-de Sitter | Anti-de Sitter | SYMMETRIES | BOOST | PHYSICS, MULTIDISCIPLINARY | DOUBLY-SPECIAL RELATIVITY | K-POINCARE | LENGTH | PLANCK-SCALE | Poincare | KAPPA-POINCARE ALGEBRA | anti-de sitter | DEFORMATIONS | deformation | non-commutative spacetime | quantum algebras | TRANSFORMATIONS | Algebra

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 9/2019, Volume 2019, Issue 9, pp. 1 - 41

We define a class of A ∞-algebras that are obtained by deformations of higher spin symmetries. While higher spin symmetries of a free CFT form an associative...

Conformal Field Theory | Non-Commutative Geometry | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Higher Spin Symmetry | REPRESENTATIONS | FIELD-THEORY | EQUATIONS | LIE-ALGEBRAS | CONSTRUCTION | REALIZATIONS | SUPERALGEBRAS | QUANTIZATION | OPERATORS | HOMOLOGY | PHYSICS, PARTICLES & FIELDS | Measurement | Algebra | Deformation

Conformal Field Theory | Non-Commutative Geometry | Quantum Physics | Quantum Field Theories, String Theory | Chern-Simons Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Higher Spin Symmetry | REPRESENTATIONS | FIELD-THEORY | EQUATIONS | LIE-ALGEBRAS | CONSTRUCTION | REALIZATIONS | SUPERALGEBRAS | QUANTIZATION | OPERATORS | HOMOLOGY | PHYSICS, PARTICLES & FIELDS | Measurement | Algebra | Deformation

Journal Article

Journal of Algebra, ISSN 0021-8693, 02/2016, Volume 447, pp. 322 - 366

Let Γ⊂SL(2,Z) be a finite subgroup acting on the irrational rotational algebra Aθ via the restriction of the canonical action of SL(2,Z). Consider the crossed...

Cyclic homology | Hochschild homology | Crossed product algebra | Non-commutative torus | MATHEMATICS | Algebra

Cyclic homology | Hochschild homology | Crossed product algebra | Non-commutative torus | MATHEMATICS | Algebra

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2018, Volume 463, Issue 2, pp. 534 - 575

We show that Ralf Meyer's method of constructing generalized fixed-point algebras for C⁎-dynamical systems via their square-integrable representations on...

Twisted [formula omitted]-dynamical system | Reduced twisted crossed product | Twisted Hilbert [formula omitted]-module | Gabor analysis | Square-integrability | Non-commutative torus | Twisted C | Twisted Hilbert C | module | dynamical system | MATHEMATICS | Twisted C-dynamical system | MATHEMATICS, APPLIED | MODULES | REPRESENTATIONS | STAR-ALGEBRAS | Twisted Hilbert C-module | CROSSED-PRODUCTS

Twisted [formula omitted]-dynamical system | Reduced twisted crossed product | Twisted Hilbert [formula omitted]-module | Gabor analysis | Square-integrability | Non-commutative torus | Twisted C | Twisted Hilbert C | module | dynamical system | MATHEMATICS | Twisted C-dynamical system | MATHEMATICS, APPLIED | MODULES | REPRESENTATIONS | STAR-ALGEBRAS | Twisted Hilbert C-module | CROSSED-PRODUCTS

Journal Article

1996, Fields Institute monographs, ISBN 0821805991, Volume 6, xiv, 309

Book

1991, Encyclopaedia of mathematical sciences, ISBN 3540181776, Volume 18, 234

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2018, Volume 462, Issue 2, pp. 1727 - 1736

We prove a new characterization of Rickart C⁎-algebras in terms of σ-compact projections. We also characterize the small projections property (SP) for type I...

[formula omitted]-algebra | (SP) property | (HP) property | Rickart [formula omitted]-algebra | Non-commutative topology | algebra | Rickart C | MATHEMATICS | FIELDS | MATHEMATICS, APPLIED | PRODUCTS | STAR-ALGEBRAS | Rickart C-algebra | AW-algebra

[formula omitted]-algebra | (SP) property | (HP) property | Rickart [formula omitted]-algebra | Non-commutative topology | algebra | Rickart C | MATHEMATICS | FIELDS | MATHEMATICS, APPLIED | PRODUCTS | STAR-ALGEBRAS | Rickart C-algebra | AW-algebra

Journal Article

Selecta Mathematica, ISSN 1022-1824, 4/2015, Volume 21, Issue 2, pp. 555 - 603

We prove that complete $$d$$ d -Calabi-Yau algebras in the sense of Ginzburg are derived from superpotentials.

Ginzburg algebra | Superpotential | Mathematics, general | Non-commutative geometry | Mathematics | 16E55 | 16E45 | Calabi-Yau algebra | MATHEMATICS | MATHEMATICS, APPLIED | QUIVERS | POTENTIALS | CATEGORIES | GEOMETRY | Algebra

Ginzburg algebra | Superpotential | Mathematics, general | Non-commutative geometry | Mathematics | 16E55 | 16E45 | Calabi-Yau algebra | MATHEMATICS | MATHEMATICS, APPLIED | QUIVERS | POTENTIALS | CATEGORIES | GEOMETRY | Algebra

Journal Article

Modeling and Analysis of Information Systems, ISSN 1818-1015, 04/2018, Volume 25, Issue 2, pp. 232 - 245

Robert McEliece developed an asymmetric encryption algorithm based on the use of binary Goppa codes in 1978 and no effective key attacks has been described...

non-commutative groups | group algebra | non-commutative codes | code cryptosystems

non-commutative groups | group algebra | non-commutative codes | code cryptosystems

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 11/2008, Volume 360, Issue 11, pp. 5711 - 5769

In this paper we develop Poisson geometry for non-commutative algebras. This generalizes the bi-symplectic geometry which was recently, and independently,...

Geometry | Tensors | Algebra | Mathematical theorems | Maps | Logical proofs | Vector fields | Commutators | Vertices | Schouten bracket | Non-commutative geometry | Poly-vector fields | MATHEMATICS | NONCOMMUTATIVE SYMPLECTIC-GEOMETRY | DEFORMATIONS | non-commutative geometry | PREPROJECTIVE ALGEBRAS | poly-vector fields | KLEINIAN SINGULARITIES

Geometry | Tensors | Algebra | Mathematical theorems | Maps | Logical proofs | Vector fields | Commutators | Vertices | Schouten bracket | Non-commutative geometry | Poly-vector fields | MATHEMATICS | NONCOMMUTATIVE SYMPLECTIC-GEOMETRY | DEFORMATIONS | non-commutative geometry | PREPROJECTIVE ALGEBRAS | poly-vector fields | KLEINIAN SINGULARITIES

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2015, Volume 2015, Issue 12, pp. 1 - 55

We verify that certain algebras appearing in string field theory are algebras over Feynman transform of modular operads which we describe explicitly....

String Field Theory | Non-Commutative Geometry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | STRING FIELD-THEORY | PHYSICS, PARTICLES & FIELDS | Algebra | Equivalence | Mathematical analysis | Transforms | Field theory | Modular | Strings

String Field Theory | Non-Commutative Geometry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | STRING FIELD-THEORY | PHYSICS, PARTICLES & FIELDS | Algebra | Equivalence | Mathematical analysis | Transforms | Field theory | Modular | Strings

Journal Article

Ars Mathematica Contemporanea, ISSN 1855-3966, 2017, Volume 12, Issue 1, pp. 37 - 50

In the present paper we generalize the notion of a Heyting algebra to the non-commutative setting and hence introduce what we believe to be the proper notion...

Non-commutative algebra | Intuitionistic logic | Heyting algebras | Skew lattices | MATHEMATICS | MATHEMATICS, APPLIED | non-commutative algebra | intuitionistic logic | LATTICES | BOOLEAN-ALGEBRAS | STONE DUALITY

Non-commutative algebra | Intuitionistic logic | Heyting algebras | Skew lattices | MATHEMATICS | MATHEMATICS, APPLIED | non-commutative algebra | intuitionistic logic | LATTICES | BOOLEAN-ALGEBRAS | STONE DUALITY

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2018, Volume 2018, Issue 5, pp. 1 - 46

Non-commutative gauge theories with a non-constant NC-parameter are investigated. As a novel approach, we propose that such theories should admit an underlying...

D-branes | Gauge Symmetry | Non-Commutative Geometry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | String theory | Algebra | Gauge theory | Deformation | Equations of motion | Curvature | Branes

D-branes | Gauge Symmetry | Non-Commutative Geometry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | String theory | Algebra | Gauge theory | Deformation | Equations of motion | Curvature | Branes

Journal Article

19.
Full Text
Relativistic corrections to the algebra of position variables and spin-orbital interaction

Physics Letters B, ISSN 0370-2693, 10/2016, Volume 761, Issue C, pp. 207 - 212

In the framework of vector model of spin, we discuss the problem of a covariant formalism [35] concerning the discrepancy between relativistic and Pauli...

Vector model of relativistic spin | Theories with constraints | Hydrogen atom spectrum | Non commutative position | First relativistic corrections | Problem of covariant formalism | PARTICLES | PHYSICS, NUCLEAR | HYDROGEN-ATOM | PRECESSION | NON-COMMUTATIVITY | ASTRONOMY & ASTROPHYSICS | DYNAMICS | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Mathematical Physics | Nuclear and High Energy Physics | Quantum Physics | Mathematics | High Energy Physics - Theory | Physics | General Relativity and Quantum Cosmology

Vector model of relativistic spin | Theories with constraints | Hydrogen atom spectrum | Non commutative position | First relativistic corrections | Problem of covariant formalism | PARTICLES | PHYSICS, NUCLEAR | HYDROGEN-ATOM | PRECESSION | NON-COMMUTATIVITY | ASTRONOMY & ASTROPHYSICS | DYNAMICS | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Mathematical Physics | Nuclear and High Energy Physics | Quantum Physics | Mathematics | High Energy Physics - Theory | Physics | General Relativity and Quantum Cosmology

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 05/2018, Issue 5

Non-commutative gauge theories with a non-constant NC-parameter are investigated. As a novel approach, we propose that such theories should admit an underlying...

D-branes | Gauge Symmetry | ADS/CFT | SH-LIE-ALGEBRAS | CONSTRUCTION | Non-Commutative Geometry | PHYSICS, PARTICLES & FIELDS

D-branes | Gauge Symmetry | ADS/CFT | SH-LIE-ALGEBRAS | CONSTRUCTION | Non-Commutative Geometry | PHYSICS, PARTICLES & FIELDS

Journal Article

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