Results 31 to 40 of about 1,525 (197)
Boundedness control sets for linear systems on Lie groups
Open Mathematics, 2018 Let Σ be a linear system on a connected Lie group G and assume that the reachable set 𝓐 from the identity element e ∈ G is open. In this paper, we give an algebraic condition to warrant the boundedness of the existent control set with a nonempty interior
Ayala Víctor, Todco María Torreblanca
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Picky elements, subnormalisers, and character correspondences
Forum of Mathematics, SigmaWe gather evidence on a new local-global conjecture of Moretó and Rizo on values of irreducible characters of finite groups. For this we study subnormalisers and picky elements in finite groups of Lie type and determine them in many cases, for unipotent ...
Gunter Malle
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Branching Laws for Some Unitary Representations of SL(4,R)
Symmetry, Integrability and Geometry: Methods and Applications, 2008 In this paper we consider the restriction of a unitary irreducible representation of type A_q(λ) of GL(4,R) to reductive subgroups H which are the fixpoint sets of an involution. We obtain a formula for the restriction to the symplectic group and to GL(2,
Birgit Speh, Bent Ørsted
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An Lp−Lq version of Hardy's theorem for spherical Fourier transform on semisimple Lie groups
International Journal of Mathematics and Mathematical Sciences, 2004 We consider a real semisimple Lie group G with finite center and K a maximal compact subgroup of G. We prove an Lp−Lq version of Hardy's theorem for the spherical Fourier transform on G.
S. Ben Farah, K. Mokni, K. Trimèche
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The geometric meaning of Zhelobenko operators [PDF]
, 2014 Peer ...
Sevastyanov, A.
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Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey +3 more
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Zassenhaus varieties of general linear Lie algebras
, 2005 Let g be a Lie algebra over an algebraically closed field of characteristic p>0 and let U be the universal enveloping algebra of g. We prove in this paper for g=gl_n and g=sl_n that the centre Z of U is a unique factorisation domain and that its field
Premet, Alexander; id_orcid +6 more
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On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
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Construction of harmonic maps from R1, 1 to classical semisimple Lie groups(从R1,1到经典单李群的调和映射的具体构造)
Zhejiang Daxue xuebao. Lixue ban, 2002 利用Darboux变换的方法给出从R1,1到经典半单李群SL(N, R), SU(p, q), Sp(p, q), SO(p,q)的调和映射的具体构造,即从已知的平行移动通过纯代数的运算得到新的平行移动,从而给出新的调和映射.
XIAQiao-ling(夏巧玲) +1 more
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On the cohomology of finite‐dimensional nilpotent groups and Lie rings
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
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