The \(\mathfrak{sl}_\infty\)-crystal combinatorics of higher level Fock spaces

DOI10.4171/JCA/2-2-1zbMath1390.05243arXiv1704.02169OpenAlexW2951061612MaRDI QIDQ1650252

Emily Norton, Thomas Gerber

Publication date: 2 July 2018

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02169

zbMATH Keywords

Heisenberg algebraFock spacecrystalscombinatorial classification of supportsrepresentations of rational Cherednik algebras

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) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (5)

Unitary representations of type B rational Cherednik algebras and crystal combinatorics ⋮ Parabolic degeneration of rational Cherednik algebras ⋮ Duality and bicrystals on infinite binary matrices ⋮ On modular Harish-Chandra series of finite unitary groups ⋮ Supports of simple modules in cyclotomic Cherednik categories \(\mathcal{O}\)

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