Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups

Cédric Bonnafé; Christophe Hohlweg

Displaying similar documents to “Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups”

Inversion of incidence mappings.

Krämer, Helmut (1997)

Séminaire Lotharingien de Combinatoire [electronic only]

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Simultaneous reduction to normal forms of commuting singular vector fields with linear parts having Jordan blocks

Masafumi Yoshino, Todor Gramchev (2008)

Annales de l’institut Fourier

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We study the simultaneous linearizability of $d$ –actions (and the corresponding $d$ -dimensional Lie algebras) defined by commuting singular vector fields in $ℂ^{n}$ 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 $d$ vector fields generating a Lie algebra. If the condition fails and if we consider the situation where small denominators...

The higher transvectants are redundant

Abdelmalek Abdesselam, Jaydeep Chipalkatti (2009)

Annales de l’institut Fourier

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Let $A, B$ denote generic binary forms, and let $𝔲_{r} = {(A, B)}_{r}$ denote their $r$ -th transvectant in the sense of classical invariant theory. In this paper we classify all the quadratic syzygies between the ${𝔲_{r}}$ . As a consequence, we show that each of the higher transvectants ${𝔲_{r} : r \geq 2}$ is redundant in the sense that it can be completely recovered from $𝔲_{0}$ and $𝔲_{1}$ . This result can be geometrically interpreted in terms of the incomplete Segre imbedding. The calculations rely upon the Cauchy exact sequence of $S L_{2}$ -representations,...

The Magnus embedding for right-symmetric algebras.

Kozybaev, D.Kh., Umirbaev, U.U. (2004)

Sibirskij Matematicheskij Zhurnal

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Index computation for amalgamated products of product systems.

Mukherjee, Mithun (2011)

Banach Journal of Mathematical Analysis [electronic only]

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Complete filtered Lie algebras over a vector space of dimension two.

Judson, Thomas W. (2002)

Journal of Lie Theory

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The Denjoy-Clarkson property with respect to Hausdorff measures for the gradient mapping of functions of several variables

Miroslav Zelený (2008)

Annales de l’institut Fourier

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We construct a differentiable function $f : R^{n} \to R$ ( $n \geq 2$ ) such that the set ${(\nabla f)}^{- 1} (B (0, 1))$ is a nonempty set of Hausdorff dimension $1$ . This answers a question posed by Z. Buczolich.

Jacobsthal numbers and alternating sign matrices.

Frey, Darrin D., Sellers, James A. (2000)

Journal of Integer Sequences [electronic only]

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