Results 41 to 50 of about 1,304,850 (179)
Miniscule representations, Gauss sum and modular invariance [PDF]
, 2007 After explaining the concepts of Langlands dual and miniscule representations, we define an analog of the Gauss sum for any compact, simple Lie group with a simply laced Lie algebra.
Wu, Siye
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About Periodic Shunkov Group Saturated with Finite Simple Groups of Lie Type Rank 1
Известия Иркутского государственного университета: Серия "Математика", 2016 The property of group G to be saturated with given set of groups X is a natural generalization of locally-cover definition (in class of locally finite groups) on periodic groups. Locally-finite group, witch has a locally-cover contains from finite simple
A. Shlepkin
doaj
Positively curved 6-manifolds with simple symmetry groups
Anais da Academia Brasileira de Ciências, 2002 Let M be a simply connected compact 6-manifold of positive sectional curvature. If the identity component of the isometry group contains a simple Lie subgroup, we prove that M is diffeomorphic to one of the five manifolds listed in Theorem A.Seja M uma 6-
FUQUAN FANG
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Generic simplicity of quantum Hamiltonian reductions
Comptes Rendus. Mathématique, 2021 Let a reductive group $G$ act on a smooth affine complex algebraic variety $X.$ Let $\mathfrak{g}$ be the Lie algebra of $G$ and $\mu :T^*(X)\rightarrow \mathfrak{g}^*$ be the moment map.
Tikaradze, Akaki
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Analysis of the Brylinski-Kostant model for spherical minimal representations [PDF]
, 2011 We revisit with another view point the construction by R. Brylinski and B. Kostant of minimal representations of simple Lie groups. We start from a pair $(V,Q)$, where $V$ is a complex vector space and $Q$ a homogeneous polynomial of degree 4 on $V$. The
Achab, Dehbia, Faraut, Jacques
core
Hidden symmetries of deformed oscillators
Nuclear Physics B, 2017 We associate with each simple Lie algebra a system of second-order differential equations invariant under a non-compact real form of the corresponding Lie group.
Sergey Krivonos +2 more
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Group manifolds and homogeneous spaces with HKT geometry: The role of automorphisms
Nuclear Physics B, 2020 We present a new simple proof of the fact that certain group manifolds as well as certain homogeneous spaces G/H of dimension 4n admit a triple of integrable complex structures that satisfy the quaternionic algebra and are covariantly constant with ...
A.V. Smilga
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ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS
Ural Mathematical Journal, 2022 In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with the following property: \((*)\) \(\Gamma\) has a transitive group of automorphisms \(\widetilde{G}\) that induces a primitive almost simple ...
Ludmila Yu. Tsiovkina
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Low degree representations of simple Lie groups [PDF]
Proceedings of the American Mathematical Society, 2011 We show that the number of irreducible representations of degree ≤ n
Guralnick, Robert +2 more
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Poisson-Lie analogues of spin Sutherland models
Nuclear Physics B, 2019 We present generalizations of the well-known trigonometric spin Sutherland models, which were derived by Hamiltonian reduction of ‘free motion’ on cotangent bundles of compact simple Lie groups based on the conjugation action.
L. Fehér
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