Results 11 to 20 of about 176 (51)

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, Jan
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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
core   +1 more source

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

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

Lie groups and algebras in particle physics [PDF]

, 2017
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Laura Costa Farràs[en] The present document is a first introduction to the Theory of Lie Groups and Lie Algebras and their representations ...
Fraxanet Morales, Joana
core   +7 more sources

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
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