Singular Soergel Bimodules for Realizations

Abstract Williamson defined the category of singular Soergel bimodules attached to a reflection faithful representation of a Coxeter group. We generalize this construction to more general realizations of Coxeter groups.

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Publication Details

Journal
International Mathematics Research Notices
Published
2024-12-26
DOI
https://doi.org/10.1093/imrn/rnae274
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

Singular Soergel Bimodules for Realizations

Noriyuki Abe
International Mathematics Research Notices
Algebraic structures and combinatorial models
article

Singular Soergel Bimodules for Realizations

Noriyuki Abe
article en

Abstract

Abstract Williamson defined the category of singular Soergel bimodules attached to a reflection faithful representation of a Coxeter group. We generalize this construction to more general realizations of Coxeter groups.

International Mathematics Research NoticesVol. 2025(1)
The University of Tokyo (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 63%
Algebraic structures and combinatorial models
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Singular Soergel Bimodules for Realizations — Noriyuki Abe · International Mathematics Research Notices (2024) | TGRS Research Map | TGRS