Results 11 to 20 of about 261 (163)

Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]

, 2013
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri, Avni, Nir, Klopsch, Benjamin, Voll, Christopher   +3 more
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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.
Thomas Leistner, Leistner, T., Thomas Neukichner, Di Scala, Antonio Jose', Di Scala, A., Neukirchner, T.   +5 more
core   +1 more source

The sheets of a classical lie algebra [PDF]

, 2005
We consider the adjoint action of a connected complex semisimple group G on its Lie algebra g. A sheet of g is a maximal irreducible subset of g consisting of G-orbits of a fixed dimension.
Im Hof, Andreas Emanuel
core   +1 more source

On Lie induction and the exceptional series [PDF]

, 2005
Lie bialgebras occur as the principal objects in the infinitesimalization of the theory of quantum groups — the semi-classical theory. Their relationship with the quantum theory has made available some new tools that we can apply to classical questions ...
GRABOWSKI, JANE, Grabowski, Jan
core   +1 more source

Base sizes for simple groups and a conjecture of Cameron [PDF]

, 2009
Let G be a permutation group on a finite set ?. A base for G is a subset B C_ ? whose pointwise stabilizer in G is trivial; we write b(G) for the smallest size of a base for G. In this paper we prove that b(G) ?
Burness, TC, Liebeck, MW, Shalev, A, Liebeck, Martin W., Burness, Timothy C., Shalev, Aner   +5 more
core   +1 more source

Rigidity Phenomena of Group Actions on a Class of Nilmanifolds and Anosov R^n Actions [PDF]

, 1992
An action of a group Г on a manifold M is a homomorphism ρ from Г to Diff(M). ρo is locally rigid if the nearby homomorphism ρ, ρ(γ) = h o ρ0, (γ) 0h^(-1) for some h Є Diff(M) and for all, γ Є Г.
Qian, Nantian
core   +1 more source

The principal series of p-adic groups with disconnected centre [PDF]

, 2017
Contains fulltext : 173480pub.pdf (Publisher’s version ) (Open Access) Contains fulltext : 173480pre.pdf (Author’s version preprint ) (Open ...
Solleveld, Maarten, Plymen, R., Aubert, Anne Marie, Baum, P., Plymen, Roger, Anne‐Marie Aubert, Aubert, Anne-Marie, Paul Baum, Aubert, A.M., Baum, Paul, Maarten Solleveld, Roger Plymen, Solleveld, M., Plymen, Roger J.   +13 more
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Connected subgroups of SO(2,n) acting irreducibly on R^{2,n} [PDF]

, 2011
We classify all connected subgroups of SO(2, n) that act irreducibly on R^{2 ...
Antonio J. Di Scala, Thomas Leistner, Leistner, T., Di Scala, Antonio Jose', Di Scala, A.   +4 more
core   +1 more source

Survey on the Irreducible Representations of Lie Algebras and Lie Groups

, 2023
Lie groups and Lie algebras are central objects in differential geometry and physics. Representing Lie groups and algebras as spaces of linear operators is one of the most powerful tools to understand their structures.
Zhou, Yuanxiang
core   +1 more source

Algebra 4: Lie algebras, Chevalley groups, and their representations

, 2021
This book, the fourth book in the four-volume series in algebra, discusses Lie algebra and representation theory in detail. It covers topics such as semisimple Lie algebras, root systems, representation theory of Lie algebra, Chevalley groups and ...
Lal, Ramji
core   +1 more source