Results 1 to 10 of about 18,981 (110)
Integration of Modules II: Exponentials [PDF]
, 2021 We continue our exploration of various approaches to integration of representations from a Lie algebra $\mbox{Lie} (G)$ to an algebraic group $G$ in positive characteristic. In the present paper we concentrate on an approach exploiting exponentials. This
Rumynin, Dmitriy, Westaway, Matthew
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Some Problems in the Representation Theory of Simple Modular Lie Algebras [PDF]
, 2015 The finite-dimensional restricted simple Lie algebras of characteristic p > 5 are classical or of Cartan type. The classical algebras are analogues of the simple complex Lie algebras and have a well-advanced representation theory with important ...
Benkart, Georgia, Feldvoss, Jörg
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Representation growth and representation zeta functions of groups [PDF]
, 2012 We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
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Geometry applications of irreducible representations of Lie Groups [PDF]
, 2010 In this note we give proofs of the following three algebraic facts which have applications in the theory of holonomy groups and homogeneous spaces: Any irreducibly acting connected subgroup $G \subset Gl(n,\rr)$ is closed.
Di Scala, Antonio Jose' +2 more
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Simple groups stabilizing polynomials [PDF]
, 2015 We study the problem of determining, for a polynomial function $f$ on a vector space $V$, the linear transformations $g$ of $V$ such that $f g = f$. In case $f$ is invariant under a simple algebraic group $G$ acting irreducibly on $V$, we note that the ...
Garibaldi, Skip, Guralnick, Robert
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Equicontinuous actions of semisimple groups
, 2017 We study equicontinuous actions of semisimple groups and some generalizations. We prove that any such action is universally closed, and in particular proper.
Bader, Uri, Gelander, Tsachik
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Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1987 The author announces results whose proofs are to appear elsewhere. They concern finite multiplicity results for induced representations in the following setting. Let \(G\) be a real semisimple Lie group with Cartan involution \(\theta\), let \(Q=LN\) be a parabolic subgroup with \(\theta\)-stable Levi component \(L\), suppose that \(L\) carries an ...
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Kyoto Journal of Mathematics, 1987 Let G be a connected semisimple Lie group with finite center and \({\mathfrak g}\) its Lie algebra. In a preceeding paper [J. Math. Soc. Japan 37, 719- 740 (1985; Zbl 0589.22012)], we defined a Weyl group action on virtual character modules with regular infinitesimal characters (recall that a virtual character is by definition a linear combination of ...
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The rings of n-dimensional polytopes
, 2009 Points of an orbit of a finite Coxeter group G, generated by n reflections starting from a single seed point, are considered as vertices of a polytope (G-polytope) centered at the origin of a real n-dimensional Euclidean space. A general efficient method
Bourbaki N +24 more
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, 2019 Alain Connes and Nigel Higson pointed out in the 1990s that the Connes-Kasparov "conjecture"' for the K-theory of reduced groupe $C^\ast$-algebras seemed, in the case of reductive Lie groups, to be a cohomological echo of a conjecture of George Mackey ...
Afgoustidis, Alexandre
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