Details
| Original language | English |
|---|---|
| Journal | Canadian journal of mathematics |
| Early online date | 14 Jan 2025 |
| Publication status | E-pub ahead of print - 14 Jan 2025 |
Abstract
We define oriented Temperley-Lieb algebras for Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan-Lusztig polynomials for these spaces.
Keywords
- Hecke categories, Kazhdan-Lusztig polynomials, Temperley-Lieb algebras
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Canadian journal of mathematics, 14.01.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Oriented Temperley-Lieb algebras and combinatorial Kazhdan-Lusztig theory
AU - Bowman, Chris
AU - De Visscher, Maud
AU - Farrell, Niamh
AU - Hazi, Amit
AU - Norton, Emily
N1 - Publisher Copyright: © The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society.
PY - 2025/1/14
Y1 - 2025/1/14
N2 - We define oriented Temperley-Lieb algebras for Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan-Lusztig polynomials for these spaces.
AB - We define oriented Temperley-Lieb algebras for Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan-Lusztig polynomials for these spaces.
KW - Hecke categories
KW - Kazhdan-Lusztig polynomials
KW - Temperley-Lieb algebras
UR - http://www.scopus.com/inward/record.url?scp=85215424940&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2212.09402
DO - 10.48550/arXiv.2212.09402
M3 - Article
AN - SCOPUS:85215424940
JO - Canadian journal of mathematics
JF - Canadian journal of mathematics
SN - 0008-414X
ER -