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 affine quasi-hereditary. In this thesis we utilise the affine quasi-hereditary structure to create finite dimensional quotients which preserve some of the homological structure of the original algebra.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:716429 |
| Date | January 2017 |
| Creators | Brown, Keith |
| Publisher | University of East Anglia |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | https://ueaeprints.uea.ac.uk/63647/ |
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