Results 1 to 10 of about 274 (154)
On subsemigroups of semisimple Lie groups
Proceedings 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
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A note on $2$-plectic vector spaces [PDF]
Journal of Mahani Mathematical Research, 2023 Among the $2$-plectic structures on vector spaces, the canonical ones and the $2$-plectic structures induced by the Killing form on semisimple Lie algebras are more interesting.
Mohammad Shafiee
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AUTOMORPHIC FORMS ON A SEMISIMPLE LIE GROUP. [PDF]
Proc Natl Acad Sci U S A, 1959 Harish-Chandra.
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SPHERICAL FUNCTIONS ON A SEMISIMPLE LIE GROUP. [PDF]
Proc Natl Acad Sci U S A, 1957 Harish-Chandra.
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Coadjoint semi-direct orbits and Lagrangian families with respect to Hermitian form
Revista 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
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On the derived Lusztig correspondence
Forum of Mathematics, Sigma, 2023 Let G be a connected reductive group, T a maximal torus of G, N the normalizer of T and $W=N/T$ the Weyl group of G. Let ${\mathfrak {g}}$ and ${\mathfrak {t}}$ be the Lie algebras of G and T. The affine variety $\mathfrak {car}={
Gérard Laumon, Emmanuel Letellier
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Linear flows on compact, semisimple Lie groups: stability and periodic orbits
Electronic 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
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Electrical network and Lie theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Curtis-Ingerman-Morrow studied the space of circular planar electrical networks, and classified all possible response matrices for such networks. Lam and Pylyavskyy found a Lie group $EL_{2n}$ whose positive part $(EL_{2n})_{\geq 0}$ naturally acts on ...
Yi Su
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On Contractions of Semisimple Lie Groups [PDF]
Transactions 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.
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How to perform the coherent measurement of a curved phase space by continuous isotropic measurement. I. Spin and the Kraus-operator geometry of $\mathrm{SL}(2,\mathbb{C})$ [PDF]
Quantum, 2023 The generalized $Q$-function of a spin system can be considered the outcome probability distribution of a state subjected to a measurement represented by the spin-coherent-state (SCS) positive-operator-valued measure (POVM).
Christopher S. Jackson, Carlton M. Caves
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