Hecke-Clifford superalgebras, crystals of type 𝐴_{2ℓ}⁽²⁾ and modular branching rules for ̂𝑆_{𝑛}

Brundan, Jonathan; Kleshchev, Alexander

doi:10.1090/S1088-4165-01-00123-6

Hecke-Clifford superalgebras, crystals of type $A_{2\ell }^{(2)}$ and modular branching rules for $\widehat {S}_n$
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by Jonathan Brundan and Alexander Kleshchev

Represent. Theory 5 (2001), 317-403

DOI: https://doi.org/10.1090/S1088-4165-01-00123-6

Published electronically: October 24, 2001

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Abstract:

This paper is concerned with the modular representation theory of the affine Hecke-Clifford superalgebra, the cyclotomic Hecke-Clifford superalgebras, and projective representations of the symmetric group. Our approach exploits crystal graphs of affine Kac-Moody algebras.

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