The Soergel category and the redotted Webster algebra. (English) Zbl 1418.16026
Summary: We describe a collection of graded rings which surject onto Webster rings for \(\operatorname{sl}(2)\) and which should be related to certain categories of singular Soergel bimodules. In the first non-trivial case, we construct a categorical braid group action which categorifies the Burau representation.
MSC:
| 16W50 | Graded rings and modules (associative rings and algebras) |
| 16E40 | (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) |
References:
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