Affine Hecke algebras and generalizations of quiver Hecke algebras of type B. Issue 2 (9th May 2020)
- Record Type:
- Journal Article
- Title:
- Affine Hecke algebras and generalizations of quiver Hecke algebras of type B. Issue 2 (9th May 2020)
- Main Title:
- Affine Hecke algebras and generalizations of quiver Hecke algebras of type B
- Authors:
- Poulain d'Andecy, L.
Walker, R. - Abstract:
- Abstract: We define and study cyclotomic quotients of affine Hecke algebras of type B . We establish an isomorphism between direct sums of blocks of these algebras and a generalization, for type B, of cyclotomic quiver Hecke algebras, which are a family of graded algebras closely related to algebras introduced by Varagnolo and Vasserot. Inspired by the work of Brundan and Kleshchev, we first give a family of isomorphisms for the corresponding result in type A which includes their original isomorphism. We then select a particular isomorphism from this family and use it to prove our result.
- Is Part Of:
- Proceedings of the Edinburgh Mathematical Society. Volume 63:Issue 2(2020)
- Journal:
- Proceedings of the Edinburgh Mathematical Society
- Issue:
- Volume 63:Issue 2(2020)
- Issue Display:
- Volume 63, Issue 2 (2020)
- Year:
- 2020
- Volume:
- 63
- Issue:
- 2
- Issue Sort Value:
- 2020-0063-0002-0000
- Page Start:
- 531
- Page End:
- 578
- Publication Date:
- 2020-05-09
- Subjects:
- Affine Hecke algebras, -- KLR algebras, -- quiver Hecke algebras
20C08
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PEM ↗
- DOI:
- 10.1017/S0013091519000294 ↗
- Languages:
- English
- ISSNs:
- 0013-0915
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library STI - ELD Digital store
- Ingest File:
- 15274.xml