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- W4300690800 abstract "For a Coxeter system and a representation $V$ of this Coxeter system, Soergel defined a category which is now called the category of Soergel bimodules and proved that this gives a categorification of the Hecke algebra when $V$ is reflection faithful. Elias and Williamson defined another category even when $V$ is not reflection faithful and they proved that this category is equivalent to the category of Soergel bimodules when $V$ is reflection faithful. Moreover they proved the categorification theorem for their category with less assumptions on $V$. In this paper, we give a bimodule theoretic definition of the category of Elias-Williamson and reprove the categorification theorem." @default.
- W4300690800 created "2022-10-04" @default.
- W4300690800 creator A5077507065 @default.
- W4300690800 date "2019-01-08" @default.
- W4300690800 modified "2023-09-27" @default.
- W4300690800 title "On Soergel bimodules" @default.
- W4300690800 doi "https://doi.org/10.48550/arxiv.1901.02336" @default.
- W4300690800 hasPublicationYear "2019" @default.
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