Hazi, A orcid.org/0000-0001-7264-2211, Martin, PP and Parker, AE orcid.org/0000-0001-7014-6150 (2021) Indecomposable tilting modules for the blob algebra. Journal of Algebra, 568. pp. 273-313. ISSN 0021-8693
Abstract
The blob algebra is a finite-dimensional quotient of the Hecke algebra of type B which is almost always quasi-hereditary. We construct the indecomposable tilting modules for the blob algebra over a field of characteristic 0 in the doubly critical case. Every indecomposable tilting module of maximal highest weight is either a projective module or an extension of a simple module by a projective module. Moreover, every indecomposable tilting module is a submodule of an indecomposable tilting module of maximal highest weight. We conclude that the graded Weyl filtration multiplicities of the indecomposable tilting modules in this case are given by inverse Kazhdan–Lusztig polynomials of type .
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2020, Elsevier Ltd. All rights reserved. This is an author produced version of an article published in the Journal of Algebra. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Blob algebra; Tilting modules; KLR algebra |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/L001152/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 03 Dec 2020 17:00 |
Last Modified: | 23 Nov 2023 13:42 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jalgebra.2020.09.042 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:150289 |