Results 11 to 20 of about 142,071 (310)
GENERICALLY FREE REPRESENTATIONS II: IRREDUCIBLE REPRESENTATIONS [PDF]
Transformation Groups, 2020 We determine which faithful irreducible representations $V$ of a simple linear algebraic group $G$ are generically free for Lie($G$), i.e., which $V$ have an open subset consisting of vectors whose stabilizer in Lie($G$) is zero. This relies on bounds on $\dim V$ obtained in prior work (part I), which reduce the problem to a finite number of ...
Garibaldi, Skip, Guralnick, Robert M.
openaire +2 more sources
The unitary representations of the Poincar\'e group in any spacetime dimension
SciPost Physics Lecture Notes, 2021 An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented.
Xavier Bekaert, Nicolas Boulanger
doaj +1 more source
Machine learning Lie structures & applications to physics
Physics Letters B, 2021 Classical and exceptional Lie algebras and their representations are among the most important tools in the analysis of symmetry in physical systems.
Heng-Yu Chen +3 more
doaj +1 more source
Irreducible representations of diperiodic groups [PDF]
Journal of Physics A: Mathematical and General, 1998 30 pages, 5 figures, 28 tables, 18 refs, LaTex2 ...
Milošević, I. +3 more
openaire +2 more sources
Multipartite Quantum Systems and Representations of Wreath Products [PDF]
EPJ Web of Conferences, 2020 The multipartite quantum systems are of particular interest for the study of such phenomena as entanglement and non-local correlations. The symmetry group of the whole multipartite system is the wreath product of the group acting in the “local” Hilbert ...
Kornyak Vladimir
doaj +1 more source
Irreducible Representations of Algebras [PDF]
Canadian Journal of Mathematics, 1974 The concept of the universal enveloping algebra of a (not necessarily associative) algebra X is basic to the study of the representations of X, because there is a one-to-one correspondence between the representations of X and . If one is only interested in studying a certain class of the representations of X, the thought occurs that there may exist a ...
openaire +1 more source
Journal of Mathematical Sciences and Modelling, 2018 We obtain the generating functions for the combinatorial enumeration of colorings of all hyperplanes of hypercubes for all irreducible representations of the hyperoctahedral groups.
Krishnan Balasubramanian
doaj +1 more source
Invariant four-forms and symmetric pairs [PDF]
, 2012 We give criteria for real, complex and quaternionic representations to define s-representations, focusing on exceptional Lie algebras defined by spin representations.
A. Moroianu +13 more
core +3 more sources
Automorphy lifting with adequate image
Forum of Mathematics, Sigma, 2023 Let F be a CM number field. We generalise existing automorphy lifting theorems for regular residually irreducible p-adic Galois representations over F by relaxing the big image assumption on the residual representation.
Konstantin Miagkov, Jack A. Thorne
doaj +1 more source
Quantized Flag Manifolds and Irreducible *-Representations [PDF]
Communications in Mathematical Physics, 1999 We study irreducible *-representations of a certain quantization of the algebra of polynomial functions on a generalized flag manifold regarded as a real manifold. All irreducible *-representations are classified for a subclass of flag manifolds containing in particular the irreducible compact Hermitian symmetric spaces.
Stokman, Jasper V. +1 more
openaire +3 more sources