A basis theorem for the degenerate affine oriented Brauer-Clifford supercategory

Autor:	Brundan, Jonathan, Comes, Jonathan, Kujawa, Jonathan R.
Rok vydání:	2017
Předmět:	Mathematics - Representation Theory Mathematics - Category Theory 17B10 18D10
Zdroj:	Canad. J. Math. 71 (2019), 1061-1101
Druh dokumentu:	Working Paper
DOI:	10.4153/CJM-2018-030-8
Popis:	We introduce the oriented Brauer-Clifford and degenerate affine oriented Brauer-Clifford supercategories. These are diagrammatically defined monoidal supercategories which provide combinatorial models for certain natural monoidal supercategories of supermodules and endosuperfunctors, respectively, for the Lie superalgebras of type Q. Our main results are basis theorems for these diagram supercategories. We also discuss connections and applications to the representation theory of the Lie superalgebra of type Q. Comment: 37 pages, many figures. Version 3 replaces the partial results from the previous versions with a proof by the first author of a basis theorem for cyclotomic quotients at all levels. Various other minor corrections and revisions were made
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1706.09999 Zobrazit plný text záznamu View this record from Arxiv