Generalised Temperley-Lieb algebras of type G(r,1,n)

Gus Lehrer, Mengfan Lyu

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we define a quotient of the cyclotomic Hecke algebra of type G(r,1,n) as a generalisation of the Temperley-Lieb algebras of type A and B. We establish a graded cellular structure for the generalised Temperley-Lieb algebra and, using the technology of KLR algebras, determine the corresponding decomposition matrix.
Original languageEnglish
Article number107402
Number of pages36
JournalJournal of Pure and Applied Algebra
Volume227
Issue number10
Publication statusPublished - Oct 2023

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© 2023 Elsevier B.V.

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