Bases and BGG Resolutions of Simple Modules of Temperley–Lieb Algebras of Type B-Reference-Cited by-同舟云学术

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Bases and BGG Resolutions of Simple Modules of Temperley–Lieb Algebras of Type B

Published:2021-03-15 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Michailidis Dimitris¹

Affiliation:

1. School of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury CT2 7FS, UK

Abstract

Abstract We construct explicit bases of simple modules and Bernstein–Gelfand–Gelfand (BGG) resolutions of all simple modules of the (graded) Temperley–Lieb algebra of type B over a field of characteristic zero.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab003/36600312/rnab003.pdf

Reference26 articles.

1. The many integral graded cellular bases of Hecke algebras of complex reflection groups;Bowman

2. Characteristic-free bases and BGG resolutions of unitary simple representations for quiver Hecke and Cherednik algebras;Bowman

3. Differential Generators on the Base Affine Space and a Study of G-Modules;Bernstein,1975

4. Complex reflection groups, braid groups, Hecke algerbras;Broué;J. Reine Angew. Math.,1998

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1. Graded Sum Formula for ~ A1-Soergel Calculus and the Nil-Blob Algebra;International Mathematics Research Notices;2023-12-15

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