Diamond representations of $\mathfrak{sl}(n)$

Didier Arnal; Nadia Bel Baraka; Norman J. Wildberger

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On the combinatorics of Young-Capelli symmetrizers.

Regonati, Francesco (2009)

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Combinatorics, superalgebras, invariant theory and representation theory.

Brini, Andrea (2005)

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Irreducible symmetric group characters of rectangular shape.

Stanley, Richard P. (2003)

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Actions of the symmetric group generated by comparable sets of integers and Smith invariants.

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Ribbon tableaux, Hall-Littlewood functions and unipotent varieties.

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Hall-Littlewood functions and Kostka-Foulkes polynomials in representation theory.

Désarménien, J., Leclerc, B., Thibon, J.-Y. (1994)

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Various representations of the generalized Kostka polynomials.

Kirillov, Anatol N., Schilling, Anne, Shimozono, Mark (1999)

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Two-rowed $A$ -type Hecke algebra representations at roots of unity.

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Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups

Cédric Bonnafé, Christophe Hohlweg (2006)

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We construct a subalgebra $Σ^{'} (W_{n})$ of dimension $2 \cdot 3^{n - 1}$ of the group algebra of the Weyl group $W_{n}$ of type $B_{n}$ containing its usual Solomon algebra and the one of $𝔖_{n}$ : $Σ^{'} (W_{n})$ is nothing but the Mantaci-Reutenauer algebra but our point of view leads us to a construction of a surjective morphism of algebras $Σ^{'} (W_{n}) \to Z Irr (W_{n})$ . Jöllenbeck’s construction of irreducible characters of the symmetric group by using the coplactic equivalence classes can then be transposed to $W_{n}$ . In an appendix, P. Baumann and C. Hohlweg present in an...

Displaying similar documents to “Diamond representations of 𝔰𝔩 ( n ) ”

Displaying similar documents to “Diamond representations of $𝔰𝔩 (n)$ ”