2014, Graduate studies in mathematics, ISBN 147041564X, Volume 153., xiii, 338 pages

Book

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

2007, EMS tracts in mathematics, ISBN 9783037190326, Volume 2, xv, 678

Book

2007, Graduate texts in mathematics, ISBN 0387302638, Volume 235, xii, 198

Book

Mathematische Zeitschrift, ISSN 0025-5874, 8/2018, Volume 289, Issue 3, pp. 961 - 981

Let G be a connected, simply connected, compact semisimple Lie group of dimension n...

43A25 | 42B25 | 43A32 | 43A22 | Mathematics, general | Mathematics | Fourier series | Localization | Compact Lie groups | Almost everywhere divergence | Bochner–Riesz means | MATHEMATICS | APPROXIMATION | SPACES | FOURIER-SERIES | NORMS | CONVERGENCE | Bochner-Rieszmeans | SUMMABILITY

43A25 | 42B25 | 43A32 | 43A22 | Mathematics, general | Mathematics | Fourier series | Localization | Compact Lie groups | Almost everywhere divergence | Bochner–Riesz means | MATHEMATICS | APPROXIMATION | SPACES | FOURIER-SERIES | NORMS | CONVERGENCE | Bochner-Rieszmeans | SUMMABILITY

Journal Article

Pacific Journal of Mathematics, ISSN 0030-8730, 2018, Volume 297, Issue 1, pp. 101 - 116

We completely characterize connected Lie groups all of whose countable subgroups are weakly amenable...

Locally compact groups | Weak amenability | Lie groups | MATHEMATICS | FOURIER ALGEBRA | II1 FACTORS | MULTIPLIERS | locally compact groups | weak amenability | APPROXIMATION PROPERTY

Locally compact groups | Weak amenability | Lie groups | MATHEMATICS | FOURIER ALGEBRA | II1 FACTORS | MULTIPLIERS | locally compact groups | weak amenability | APPROXIMATION PROPERTY

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 11/2017, Volume 145, Issue 11, pp. 5007 - 5021

construction rank. By a structure theorem of Phillip Wesolek, elementary p-adic Lie groups are among the basic building blocks for general...

MATHEMATICS | REPRESENTATION | MATHEMATICS, APPLIED | CONTRACTION GROUPS | LOCALLY COMPACT-GROUPS

MATHEMATICS | REPRESENTATION | MATHEMATICS, APPLIED | CONTRACTION GROUPS | LOCALLY COMPACT-GROUPS

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 01/2018, Volume 124, pp. 325 - 349

Let G be a compact, connected, and simply-connected Lie group viewed as a G-space via the conjugation action. The Freed–Hopkins–Teleman Theorem (FHT...

[formula omitted]-theory | Verlinde algebra | Real [formula omitted] structure | Compact Lie groups | Real Spin | KR-theory | structure | MATHEMATICS | ISOMORPHISM | Real Spin(c) structure | LOOP-GROUPS | MOMENT MAPS | PHYSICS, MATHEMATICAL | Algebra

[formula omitted]-theory | Verlinde algebra | Real [formula omitted] structure | Compact Lie groups | Real Spin | KR-theory | structure | MATHEMATICS | ISOMORPHISM | Real Spin(c) structure | LOOP-GROUPS | MOMENT MAPS | PHYSICS, MATHEMATICAL | Algebra

Journal Article

The Journal of geometric analysis, ISSN 1559-002X, 08/2019

We develop a new scheme for the construction of explicit complex-valued proper biharmonic functions on Riemannian Lie groups...

Biharmonic functions | Geometri | Geometry | Naturvetenskap | Mathematics | Natural Sciences | Matematik | Compact simple Lie groups

Biharmonic functions | Geometri | Geometry | Naturvetenskap | Mathematics | Natural Sciences | Matematik | Compact simple Lie groups

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 12/2017, Volume 273, Issue 11, pp. 3463 - 3503

.... It follows that the same holds for any connected simple Lie group with finite center and real rank greater than 1, as well as for any...

Locally compact groups | p-Approximation property | Figà-Talamanca–Herz algebra | MATHEMATICS | SPACES | C-ASTERISK-ALGEBRAS | Figh-Talamanca-Herz algebra | OPERATORS | Algebra | Operator Algebras | Mathematics

Locally compact groups | p-Approximation property | Figà-Talamanca–Herz algebra | MATHEMATICS | SPACES | C-ASTERISK-ALGEBRAS | Figh-Talamanca-Herz algebra | OPERATORS | Algebra | Operator Algebras | Mathematics

Journal Article

manuscripta mathematica, ISSN 0025-2611, 3/2018, Volume 155, Issue 3, pp. 389 - 417

We study the existence of lattices in almost abelian Lie groups that admit left invariant locally conformal...

Geometry | 22E25 | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | 53C55 | 53D05 | Mathematics, general | Algebraic Geometry | 22E40 | Mathematics | 53C15 | Number Theory | MATHEMATICS | ALGEBRAS | COMPLEX | METRICS | MANIFOLDS | NILMANIFOLDS | COMPACT SOLVMANIFOLDS | GEOMETRY

Geometry | 22E25 | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | 53C55 | 53D05 | Mathematics, general | Algebraic Geometry | 22E40 | Mathematics | 53C15 | Number Theory | MATHEMATICS | ALGEBRAS | COMPLEX | METRICS | MANIFOLDS | NILMANIFOLDS | COMPACT SOLVMANIFOLDS | GEOMETRY

Journal Article

Journal of Fourier Analysis and Applications, ISSN 1069-5869, 4/2019, Volume 25, Issue 2, pp. 345 - 376

We establish a Fourier inversion theorem for general connected, simply connected nilpotent Lie groups $$G= \hbox {exp}({\mathfrak {g}})$$ G = exp ( g...

Co-adjoint orbit | Compact group action | Mathematics | Abstract Harmonic Analysis | Retract | Mathematical Methods in Physics | nilpotent Lie group | Irreducible representation | 22E27 | Fourier Analysis | Signal,Image and Speech Processing | 43A20 | Approximations and Expansions | 22E30 | Fourier inversion | Partial Differential Equations | MATHEMATICS, APPLIED

Co-adjoint orbit | Compact group action | Mathematics | Abstract Harmonic Analysis | Retract | Mathematical Methods in Physics | nilpotent Lie group | Irreducible representation | 22E27 | Fourier Analysis | Signal,Image and Speech Processing | 43A20 | Approximations and Expansions | 22E30 | Fourier inversion | Partial Differential Equations | MATHEMATICS, APPLIED

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 06/2010, Volume 56, Issue 6, pp. 2766 - 2777

Noncommutative harmonic analysis is used to solve a nonparametric estimation problem stated in terms of compound Poisson processes on compact Lie groups...

Australia Council | Scattering | Harmonic analysis | Mathematics | compound Poisson processes | Statistics | multiple scattering | Inverse problems | noncommutative harmonic analysis | nonparametric estimation | Traffic control | Random variables | State estimation | Compact Lie groups | Queueing analysis | Compound Poisson processes | Nonparametric estimation | Multiple scattering | Noncommutative harmonic analysis | DECONVOLUTION | LEVY PROCESSES | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Estimation theory | Research | Lie groups | Fourier analysis | Mathematical models | Information theory | Computer Science | Information Retrieval

Australia Council | Scattering | Harmonic analysis | Mathematics | compound Poisson processes | Statistics | multiple scattering | Inverse problems | noncommutative harmonic analysis | nonparametric estimation | Traffic control | Random variables | State estimation | Compact Lie groups | Queueing analysis | Compound Poisson processes | Nonparametric estimation | Multiple scattering | Noncommutative harmonic analysis | DECONVOLUTION | LEVY PROCESSES | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Estimation theory | Research | Lie groups | Fourier analysis | Mathematical models | Information theory | Computer Science | Information Retrieval

Journal Article

Topology and its Applications, ISSN 0166-8641, 10/2019, Volume 266, p. 106858

In this note we prove that a homomorphism from a compact connected simple Lie group with the norm topology to any separable SIN group is automatically continuous...

Automatic continuity | Compact connected simple Lie groups | Topological groups | MATHEMATICS | MATHEMATICS, APPLIED

Automatic continuity | Compact connected simple Lie groups | Topological groups | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal de mathématiques pures et appliquées, ISSN 0021-7824, 2014, Volume 102, Issue 1, pp. 153 - 172

Given a compact Lie group G, in this paper we give symbolic criteria for operators to be nuclear and r-nuclear on Lp(G...

Eigenvalues | Schatten classes | Compact Lie groups | Pseudo-differential operators | r-Nuclear operators | Trace formula | R-Nuclear operators

Eigenvalues | Schatten classes | Compact Lie groups | Pseudo-differential operators | r-Nuclear operators | Trace formula | R-Nuclear operators

Journal Article

Topology and its applications, ISSN 0166-8641, 2018, Volume 235, pp. 14 - 21

Let G be a compact Lie group. (Compact) topological G-manifolds have the G-homotopy type of (finite-dimensional...

Topological manifold | CW complex | Compact transformation group | Equivariant homotopy type | HOMOTOPY TYPE | ANRS | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | THEOREM | SPACES | CONJECTURE | Mathematics - Geometric Topology

Topological manifold | CW complex | Compact transformation group | Equivariant homotopy type | HOMOTOPY TYPE | ANRS | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | THEOREM | SPACES | CONJECTURE | Mathematics - Geometric Topology

Journal Article

Journal of the Institute of Mathematics of Jussieu, ISSN 1474-7480, 05/2019, Volume 18, Issue 3, pp. 531 - 559

Given a compact Lie group G, in this paper we establish L-p-bounds for pseudo-differential operators in L-p(G...

pseudo-differential operators | compact Lie groups | L p bounds | MATHEMATICS | SPACES | INEQUALITY | L-p bounds | MULTIPLIERS

pseudo-differential operators | compact Lie groups | L p bounds | MATHEMATICS | SPACES | INEQUALITY | L-p bounds | MULTIPLIERS

Journal Article

Journal of Fourier Analysis and Applications, ISSN 1069-5869, 6/2014, Volume 20, Issue 3, pp. 476 - 499

In this paper we give several global characterisations of the Hörmander class $$\Psi ^m(G)$$ Ψ m ( G ) of pseudo-differential operators on compact Lie groups in terms of the representation theory of the group...

Signal, Image and Speech Processing | Pseudo-differential operators | Mathematics | microlocal analysis | elliptic operators | Abstract Harmonic Analysis | Primary 35S05 | Mathematical Methods in Physics | Secondary 22E30 | Fourier Analysis | global hypoellipticity | Approximations and Expansions | compact Lie groups | Leibniz formula | Partial Differential Equations | MATHEMATICS, APPLIED

Signal, Image and Speech Processing | Pseudo-differential operators | Mathematics | microlocal analysis | elliptic operators | Abstract Harmonic Analysis | Primary 35S05 | Mathematical Methods in Physics | Secondary 22E30 | Fourier Analysis | global hypoellipticity | Approximations and Expansions | compact Lie groups | Leibniz formula | Partial Differential Equations | MATHEMATICS, APPLIED

Journal Article

Canadian journal of mathematics, ISSN 0008-414X, 02/2019, Volume 71, Issue 1, pp. 131 - 152

We prove completeness for the main examples of infinite-dimensional Lie groups and some related topological groups...

Article | inverse limit | Banach-Lie group | test function group | Cauchy filter | projective limit | direct sum | infinite-dimensional Lie group | (LB)-space | direct limit | Cauchy net | box product | product set | weak direct product | diffeomorphism group | strong (ILB)-Lie group | compact support | left uniform structure | inductive limit | ascending sequence | bamboo shoot topology | INDUCTIVE LIMITS | TOPOLOGIES | MATHEMATICS | MANIFOLDS | Lie groups | Topology

Article | inverse limit | Banach-Lie group | test function group | Cauchy filter | projective limit | direct sum | infinite-dimensional Lie group | (LB)-space | direct limit | Cauchy net | box product | product set | weak direct product | diffeomorphism group | strong (ILB)-Lie group | compact support | left uniform structure | inductive limit | ascending sequence | bamboo shoot topology | INDUCTIVE LIMITS | TOPOLOGIES | MATHEMATICS | MANIFOLDS | Lie groups | Topology

Journal Article

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