Soergel Diagrammatics for Dihedral Groups
By: Ben Elias
Publisher: [publisher not identified]
Published: 2011
Place of publication: [New York, N.Y.?]
Language: eng
Description: We give a diagrammatic presentation for the category of Soergel bimodules for the dihedral group W, finite or infinite. The (two-colored) Temperley-Lieb category is embedded inside this category as the degree 0 morphisms between color-alternating objects. The indecomposable Soergel bimodules are the images of Jones-Wenzl projectors. When W is finite, the Temperley-Lieb category must be taken at an appropriate root of unity, and the negligible Jones-Wenzl projector yields the Soergel bimodule for the longest element of W.
Notes: Department: Mathematics.

Thesis advisor: Mikhail G. Khovanov.

Thesis (Ph.D.)--Columbia University, 2011.