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The Ariki-Koike algebras and Rogers-Ramanujan type partitions

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Publication:6618160
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DOI10.1007/s10801-024-01340-zMaRDI QIDQ6618160

Ting Xue, Dennis W. Stanton, Ae Ja Yee, Shane Chern, Zhitai Li

Publication date: 14 October 2024

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)



zbMATH Keywords

multipartitionscyclotomic rational double affine Hecke algebrasgeneralized Rogers-Ramanujan identitiesblocks of cyclotomic Hecke algebraspartition residue statistics


Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Hecke algebras and their representations (20C08) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Representation theory of associative rings and algebras (16G99) Partition identities; identities of Rogers-Ramanujan type (11P84)








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