Singular Soergel bimodules. (English) Zbl 1196.20006
Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). 93 p. (2008).
Summary: We define a category of singular Soergel bimodules and describe the indecomposable objects in terms of double cosets in the Weyl group. In many cases in low rank we are able to confirm Soergel’s character conjectures.
MSC:
| 20C08 | Hecke algebras and their representations |
| 20F55 | Reflection and Coxeter groups (group-theoretic aspects) |
| 17B10 | Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) |
| 20-02 | Research exposition (monographs, survey articles) pertaining to group theory |
