The Kazhdan-Lusztig basis and the Temperley-Lieb quotient in type \(D\)

DOI10.1006/JABR.2000.8444zbMath0969.20003OpenAlexW1980704966MaRDI QIDQ5925790

Losonczy, Jozsef

Publication date: 3 May 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8444

zbMATH Keywords

Hecke algebrasIC basesKazhdan-Lusztig basesreduced expressionsTemperley-Lieb algebrasTemperley-Lieb type quotientstype \(D\)Weyl groups

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08)

Related Items (5)

Combinatorial properties of the Temperley-Lieb algebra of a Coxeter group. ⋮ Semi-simplicity of Temperley-Lieb algebras of type D ⋮ Fully commutative Kazhdan-Lusztig cells ⋮ Generalized Jones traces and Kazhdan-Lusztig bases. ⋮ Acyclic heaps of pieces. I.

Cites Work

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• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• Structure of a Hecke algebra quotient

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