Cellularity for weighted KLRW algebras of types $B$, $A^{(2)}$, $D^{(2)}$

Autor:	Mathas, Andrew, Tubbenhauer, Daniel
Rok vydání:	2022
Předmět:	Mathematics - Representation Theory Mathematics - Quantum Algebra Mathematics - Rings and Algebras Primary: 16G99 20C08 Secondary: 20C30 20G43
Zdroj:	J. Lond. Math. Soc. (2) 107 (2023), no. 3, 1002-1044
Druh dokumentu:	Working Paper
DOI:	10.1112/jlms.12706
Popis:	This paper constructs homogeneous affine sandwich cellular bases of weighted KLRW algebras in types $B$, $A^{(2)}$, $D^{(2)}$. Our construction immediately gives homogeneous sandwich cellular bases for the finite dimensional quotients of these algebras. Since weighted KLRW algebras generalize KLR algebras, we also obtain bases and cellularity results for the (infinite and finite dimensional) KLR algebras. Comment: 30 pages, lots of figures, revision following referees comments, to appear in J. Lond. Math. Soc., comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.01998 Zobrazit plný text záznamu View this record from Arxiv