Diagrammatics for Soergel Categories
The monoidal category of Soergel bimodules can be thought of as a categorification of the Hecke algebra of a finite Weyl group. We present this category, when the Weyl group is the symmetric group, in the language of planar diagrams with local generators and local defining relations.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/978635 |
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| _version_ | 1832562006182330368 |
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| author | Ben Elias Mikhail Khovanov |
| author_facet | Ben Elias Mikhail Khovanov |
| author_sort | Ben Elias |
| collection | DOAJ |
| description | The monoidal category of Soergel bimodules can be thought of as a categorification of the Hecke algebra of a finite Weyl group. We present this category, when the Weyl group is the symmetric group, in the language of planar diagrams with local generators and local defining relations. |
| format | Article |
| id | doaj-art-c9e3a842b3334bfcb48ba2f0d84b7dbf |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c9e3a842b3334bfcb48ba2f0d84b7dbf2025-02-03T01:23:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/978635978635Diagrammatics for Soergel CategoriesBen Elias0Mikhail Khovanov1Department of Mathematics, Columbia University, New York, NY 10027, USADepartment of Mathematics, Columbia University, New York, NY 10027, USAThe monoidal category of Soergel bimodules can be thought of as a categorification of the Hecke algebra of a finite Weyl group. We present this category, when the Weyl group is the symmetric group, in the language of planar diagrams with local generators and local defining relations.http://dx.doi.org/10.1155/2010/978635 |
| spellingShingle | Ben Elias Mikhail Khovanov Diagrammatics for Soergel Categories International Journal of Mathematics and Mathematical Sciences |
| title | Diagrammatics for Soergel Categories |
| title_full | Diagrammatics for Soergel Categories |
| title_fullStr | Diagrammatics for Soergel Categories |
| title_full_unstemmed | Diagrammatics for Soergel Categories |
| title_short | Diagrammatics for Soergel Categories |
| title_sort | diagrammatics for soergel categories |
| url | http://dx.doi.org/10.1155/2010/978635 |
| work_keys_str_mv | AT benelias diagrammaticsforsoergelcategories AT mikhailkhovanov diagrammaticsforsoergelcategories |