0-Cycles on Grassmannians as Representations of Projective Groups

Modular Representations of Reductive Groups and Geometry of Affine Grassmannians

By the geometric Satake isomorphism of Mirković and Vilonen, decomposition numbers for reductive groups can be interpreted as decomposition numbers for equivariant perverse sheaves on the complex affine Grassmannian of the Langlands dual group. Using a description of the minimal degenerations of the affine Grassmannian obtained by Malkin, Ostrik and Vybornov, we are able to recover geometricall...

Projective Representations of Generalized Symmetric Groups

Projective Representations of Reflection Groups Ii

From Projective Representations to Quasi-quantum Groups

This is a contribution to the project of quiver approaches to quasi-quantum groups initiated in [13]. We classify Majid bimodules over groups with 3-cocycles by virtue of projective representations. This leads to a theoretic classification of graded pointed Majid algebras over path coalgebras, or equivalently cofree pointed coalgebras, and helps to provide a projective representation-theoretic ...

Grassmannians and Representations

In this note we use Bott-Borel-Weil theory to compute cohomology of interesting vector bundles on sequences of Grassmannians.