Results 1 to 10 of about 228 (137)

Extension of Wang-Gong monotonicity result in semisimple Lie groups

open access: yesSpecial Matrices, 2015
We extend a monotonicity result of Wang and Gong on the product of positive definite matrices in the context of semisimple Lie groups. A similar result on singular values is also obtained.
Tin-Yau Tam
exaly   +3 more sources

On subsemigroups of semisimple Lie groups

open access: yesProceedings of the Indian Academy of Sciences: Mathematical Sciences, 1995
Let \(G\) be a connected semisimple Lie group and \(S\) a subsemigroup of \(G\). Suppose that \(\mathfrak g\) is the Lie algebra of \(G\) and \({\mathfrak g}={\mathfrak k}+{\mathfrak p}\) a Cartan decomposition. The authors prove that \(S\) is a group if it is biinvariant under the analytic subgroup \(K\) of \(G\) with Lie algebra \(\mathfrak k ...
M Mccrudden
exaly   +3 more sources

On simple modules with singular highest weights for so2l+1(K) [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
In this paper, we study formal characters of simple modules with singular highest weights over classical Lie algebras of type B over an algebraically closed field of characteristic p ≥ h, where h is the Coxeter number.
Sh.Sh. Ibraev   +2 more
doaj   +3 more sources

Linear flows on compact, semisimple Lie groups: stability and periodic orbits

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
Our first purpose is to study the stability of linear flows on real, connected, compact, semisimple Lie groups. Our second purpose is to study periodic orbits of linear and invariant flows.
Simão Stelmastchuk
doaj   +1 more source

Coadjoint semi-direct orbits and Lagrangian families with respect to Hermitian form

open access: yesRevista Integración, 2023
We use the underlying structure of then coadjoint orbits of a semidirect product of a connected Lie group and a vector space to obtain families of Lagrangian submanifolds in the adjoint orbits of complex semisimple Lie groups with respect to the ...
Jhoan Báez, Luiz A.B. San Martin
doaj   +1 more source

On Cohomology of Simple Modules for Modular Classical Lie Algebras

open access: yesAxioms, 2022
In this article, we obtain some cohomology of classical Lie algebras over an algebraically closed field of characteristic p>h, where h is a Coxeter number, with coefficients in simple modules.
Sherali S. Ibraev   +2 more
doaj   +1 more source

On Contractions of Semisimple Lie Groups [PDF]

open access: yesTransactions of the American Mathematical Society, 1985
A limiting formula is given for the representation theory of the Cartan motion group associated to a Riemannian symmetric pair ( G ,
Dooley, A. H., Rice, J. W.
openaire   +1 more source

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