arXiv Analytics

Sign in

arXiv:1603.00796 [math.RT]AbstractReferencesReviewsResources

On Morita Equivalences Between KLR Algebras and VV Algebras

Ruari Walker

Published 2016-03-02Version 1

This paper is investigative work into the properties of a family of graded algebras recently defined by Varagnolo and Vasserot, which we call VV algebras. We compare categories of modules over KLR algebras with categories of modules over VV algebras, establishing various Morita equivalences. Using these Morita equivalences we are able to prove several properties of certain classes of VV algebras such as (graded) affine cellularity and affine quasi-heredity.

Comments: 35 pages. Part of the author's PhD thesis
Categories: math.RT, math.RA
Related articles: Most relevant | Search more
arXiv:1709.07769 [math.RT] (Published 2017-09-22)
Convolution Products and R-Matrices for KLR Algebras of Type $B$
arXiv:2107.08244 [math.RT] (Published 2021-07-17)
On the product of simple modules over KLR algebras
arXiv:1405.6441 [math.RT] (Published 2014-05-26, updated 2014-11-18)
Affine cellularity of BLN-algebras

Links

Toolbox