More about embeddings of almost homogeneous Heisenberg groups.
Hoheisel, J., Stroppel, M. (2003)
Journal of Lie Theory
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Hoheisel, J., Stroppel, M. (2003)
Journal of Lie Theory
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Zavarnitsine, A.V. (2004)
Sibirskij Matematicheskij Zhurnal
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Berhuy, Grégory, Favi, Giordano (2003)
Documenta Mathematica
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Cédric Bonnafé, Christophe Hohlweg (2006)
Annales de l’institut Fourier
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We construct a subalgebra of dimension of the group algebra of the Weyl group of type containing its usual Solomon algebra and the one of : is nothing but the Mantaci-Reutenauer algebra but our point of view leads us to a construction of a surjective morphism of algebras . Jöllenbeck’s construction of irreducible characters of the symmetric group by using the coplactic equivalence classes can then be transposed to . In an appendix, P. Baumann and C. Hohlweg present in an...
Masami Fujimori (2012)
Journal de Théorie des Nombres de Bordeaux
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We determine the algebraic groups which have a close relation to the inequalities.
Gubarev, V.Yu. (2009)
Sibirskij Matematicheskij Zhurnal
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Lomadze, V. (2000)
Georgian Mathematical Journal
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Masafumi Yoshino, Todor Gramchev (2008)
Annales de l’institut Fourier
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We study the simultaneous linearizability of –actions (and the corresponding -dimensional Lie algebras) defined by commuting singular vector fields in fixing the origin with nontrivial Jordan blocks in the linear parts. We prove the analytic convergence of the formal linearizing transformations under a certain invariant geometric condition for the spectrum of vector fields generating a Lie algebra. If the condition fails and if we consider the situation where small denominators...