Properly stratified quotients of quiver Hecke algebras

Brown, Keith (2017) Properly stratified quotients of quiver Hecke algebras. Doctoral thesis, University of East Anglia.

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Abstract

Introduced in 2008 by Khovanov and Lauda, and independently by Rouquier, the
quiver Hecke algebras are a family of infinite dimensional graded algebras which categorify
the negative part of the quantum group associated to a graph. Infinite types
these algebras are known to have nice homological properties, in particular they are
a�ffine quasi-hereditary. In this thesis we utilise the a�ffine quasi-hereditary structure
to create finite dimensional quotients which preserve some of the homological
structure of the original algebra.

Item Type: Thesis (Doctoral)
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Katie Miller
Date Deposited: 01 Jun 2017 12:31
Last Modified: 01 Jun 2017 12:31
URI: https://ueaeprints.uea.ac.uk/id/eprint/63647
DOI:

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