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  SL2 tilting modules in the mixed case

Sutton, L., Tubbenhauer, D., Wedrich, P., & Zhu, J. (2023). SL2 tilting modules in the mixed case. Selecta Mathematica, 29(3): 39. doi:10.1007/s00029-023-00835-0.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000F-62B9-2 Version Permalink: https://hdl.handle.net/21.11116/0000-000F-62BA-1
Genre: Journal Article
Latex : SL_2 tilting modules in the mixed case

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 Creators:
Sutton, Louise, Author
Tubbenhauer, Daniel, Author
Wedrich, Paul1, Author           
Zhu, Jieru, Author
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Representation Theory, Quantum Algebra
 Abstract: Using the non-semisimple Temperley–Lieb calculus, we study the additive and monoidal structure of the category of tilting modules for SL2 in the mixed case. This simultaneously generalizes the semisimple situation, the case of the complex quantum group at a root of unity, and the algebraic group case in positive characteristic. We describe character formulas and give a presentation of the category of tilting modules as an additive category via a quiver with relations. Turning to the monoidal structure, we describe fusion rules and obtain an explicit recursive description of the appropriate analog of Jones–Wenzl projectors.

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Language(s): eng - English
 Dates: 2023
 Publication Status: Issued
 Pages: 40
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2105.07724
DOI: 10.1007/s00029-023-00835-0
 Degree: -

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Title: Selecta Mathematica
Source Genre: Journal
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Publ. Info: Birkhäuser
Pages: - Volume / Issue: 29 (3) Sequence Number: 39 Start / End Page: - Identifier: -