Oriented Temperley-Lieb algebras and combinatorial Kazhdan-Lusztig theory

Chris Bowman; Maud De Visscher; Niamh Farrell; Amit Hazi; Emily Norton

doi:10.4153/S0008414X24001032

Oriented Temperley-Lieb algebras and combinatorial Kazhdan-Lusztig theory

Chris Bowman, Maud De Visscher, Niamh Farrell, Amit Hazi, Emily Norton

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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.

Originalsprache	Englisch
Seiten (von - bis)	651 - 693
Seitenumfang	43
Fachzeitschrift	Canadian journal of mathematics
Jahrgang	78
Ausgabenummer	2
Elektronisch veröffentlicht (E-Pub)	14 Jan. 2025
DOIs	https://doi.org/10.4153/S0008414X24001032 https://doi.org/10.48550/arXiv.2212.09402
Publikationsstatus	Veröffentlicht - Apr. 2026

ASJC Scopus Sachgebiete

Allgemeine Mathematik

Zugriff auf Dokument

10.4153/S0008414X24001032Lizenz: CC BY 4.0
10.48550/arXiv.2212.09402Lizenz: Arxiv nonexclusive-distrib 1.0

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