Soergel calculus
نویسندگان
چکیده
منابع مشابه
Lecture 11: Soergel Bimodules
In this lecture we continue to study the category O0 and explain some ideas towards the proof of the Kazhdan-Lusztig conjecture. We start by introducing projective functors Pi : O0 → O0 that act by w 7→ w(1 + si) on K0(O0). Using these functors we produce a projective generator of O0. In Section 2 we explain some of the work of Soergel that ultimately was used by Elias and Williamson to give a ...
متن کاملDiagrammatics 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. Date: February 27, 2009.
متن کاملHochschild homology of certain Soergel bimodules
The Soergel bimodules were introduced by Soergel in [9, 10] in the context of the infinite-dimensional representation theory of simple Lie algebra and Kazhdan-Lusztig theory. They have nice explicit expression as the tensor products of the rings of polynomials invariant under the action of a symmetric group, tensored over rings of the same form. Moreover, there are various quite different inter...
متن کاملSimple Transitive 2-Representations of Soergel Bimodules in Type B2
We prove that every simple transitive 2-representation of the fiat 2-category of Soergel bimodules (over the coinvariant algebra) in type B2 is equivalent to a cell 2-representation. We also describe some general properties of the 2-category of Soergel bimodules for arbitrary finite Dihedral groups.
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ژورنال
عنوان ژورنال: Representation Theory of the American Mathematical Society
سال: 2016
ISSN: 1088-4165
DOI: 10.1090/ert/481