Hecke-Clifford superalgebras and crystals of type \(D_l^{(2)}\)

DOI10.2977/PRIMS/13zbMath1216.17002arXiv0907.4936MaRDI QIDQ983319

Shunsuke Tsuchioka

Publication date: 22 July 2010

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4936

zbMATH Keywords

crystal graphmodular branching rulesKashiwara operatorsaffine Hecke-Clifford superalgebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Superalgebras (17A70)

Related Items (8)

Supercategorification of quantum Kac-Moody algebras. I, II ⋮ Pattern avoidance seen in multiplicities of maximal weights of affine Lie algebra representations ⋮ Young walls and graded dimension formulas for finite quiver Hecke algebras of type \(A^{(2)}_{2\ell}\) and \(D^{(2)}_{\ell+1}\) ⋮ Erratum to: ``\(B_2\)-crystals: axioms, structure, models ⋮ Crystal of affine type \(\widehat{A}_{\ell-1}\) and Hecke algebras at a primitive \(2\ell\) th root of unity ⋮ Graded Cartan determinants of the symmetric groups ⋮ Categorification of quantum Kac-Moody superalgebras ⋮ Categorical crystals for quantum affine algebras

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