Results 31 to 40 of about 1,803,467 (337)
On the smallest Laplace eigenvalue for naturally reductive metrics on compact simple Lie groups [PDF]
, 2019 Eldredge, Gordina and Saloff-Coste recently conjectured that, for a given compact connected Lie group $G$, there is a positive real number $C$ such that $\lambda_1(G,g)\operatorname{diam}(G,g)^2\leq C$ for all left-invariant metrics $g$ on $G$.
E. Lauret
semanticscholar +1 more source
Primitive ideals, twisting functors and star actions for classical Lie superalgebras [PDF]
, 2016 We study three related topics in representation theory of classical Lie superalgebras. The first one is classification of primitive ideals, i.e. annihilator ideals of simple modules, and inclusions between them.
Coulembier, Kevin, Mazorchuk, Volodymyr
core +1 more source
Local spectral gap in simple Lie groups and applications [PDF]
, 2015 We introduce a novel notion of local spectral gap for general, possibly infinite, measure preserving actions. We establish local spectral gap for the left translation action $$\Gamma \curvearrowright G$$Γ↷G, whenever $$\Gamma $$Γ is a dense subgroup ...
R. Boutonnet, A. Ioana, A. Golsefidy
semanticscholar +1 more source
Geometric dimension of lattices in classical simple Lie groups [PDF]
, 2015 We prove that if Γ is a lattice in a classical simple Lie group G , then the symmetric space of G is Γ ‐equivariantly homotopy equivalent to a proper cocompact Γ ‐CW complex of dimension the virtual cohomological dimension of Γ .
J. Aramayona +3 more
semanticscholar +1 more source
On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group
Известия Иркутского государственного университета: Серия "Математика", 2017 The group $ G $ is saturated with groups from the set of groups if any a finite subgroup $ K $ of $ G $ is contained in a subgroup of $ G $, which is isomorphic to some group in $ \mathfrak{X} $.
A.A. Shlepkin
doaj +1 more source
Varieties of a class of elementary subalgebras
AIMS Mathematics, 2022 Let $ G $ be a connected standard simple algebraic group of type $ C $ or $ D $ over an algebraically closed field $ \Bbbk $ of positive characteristic $ p > 0 $, and $ \mathfrak{g}: = \mathrm{Lie}(G) $ be the Lie algebra of $ G $.
Yang Pan, Yanyong Hong
doaj +1 more source
Langlands duality for representations of quantum groups [PDF]
, 2010 We establish a correspondence (or duality) between the characters and the crystal bases of finite-dimensional representations of quantum groups associated to Langlands dual semi-simple Lie algebras. This duality may also be stated purely in terms of semi-
D. Hernandez +17 more
core +3 more sources
THE SHMUSHKEVICH METHOD FOR HIGHER SYMMETRY GROUPS OF INTERACTING PARTICLES
Acta Polytechnica, 2013 About 60 years ago, I. Shmushkevich presented a simple ingenious method for computing the relative probabilities of channels involving the same interacting multiplets of particles, without the need to compute the Clebsch-Gordan coefficients.
Mark Bodner +3 more
doaj +1 more source
New Beauville surfaces and finite simple groups [PDF]
, 2011 In this paper we construct new Beauville surfaces with group either $\PSL(2,p^e)$, or belonging to some other families of finite simple groups of Lie type of low Lie rank, or an alternating group, or a symmetric group, proving a conjecture of Bauer ...
Garion, Shelly, Penegini, Matteo
core +5 more sources
A product theorem in simple Lie groups [PDF]
Geometric and Functional Analysis, 2015 We prove a discretized Product Theorem for general simple Lie groups, in the spirit of Bourgain's Discretized Sum-Product Theorem.
openaire +3 more sources