Two maps on affine type \(A\) crystals and Hecke algebras

DOI10.37236/10240zbMath1475.20009arXiv2102.05335OpenAlexW3165344786MaRDI QIDQ2030738

Nicolas Jacon

Publication date: 7 June 2021

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.05335

zbMATH Keywords

Clifford theoryFock spaceHecke algebracrystalcomplex reflection group

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08)

Cites Work

• Unnamed Item
• On the one dimensional representations of Ariki-Koike algebras at roots of unity
• Representations of Hecke algebras at roots of unity.
• The number of simple modules for the Hecke algebras of type \(G(r,p,n)\) (with an appendix by Xiaoyi Cui).
• Modular representations of cyclotomic Hecke algebras of type G(r, p, n)
• Crystal bases and simple modules for Hecke algebras of type $G(p,p,n)$
• Lakshmibai-Seshadri paths fixed by a diagram automorphism.
• Crystal isomorphisms for irreducible highest weight \(\mathcal{U}_{v}(\widehat{\mathfrak{sl}}_{e})\)-modules of higher level

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