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Categorification of (induced) cell modules and the rough structure of generalized Verma modules by Mazorchuk, Volodymyr; Stroppel, Catharina is a scholarly article available to read on EtoBox.

What is Categorification of (induced) cell modules and the rough structure of generalized Verma modules about?

This paper presents categorifications of (right) cell modules and induced cell modules for Hecke algebras of finite Weyl groups. In type $A$ we show that these categorifications depend only on the isomorphism class of the cell module, not on the cell itself. Our main application is multiplicity formulas for parabolically induced modules over a reductive Lie algebra of type $A$, which finally determines the so-called rough structure of generalized Verma modules. On the way we present several categorification results and give the positive answer to Kostant's problem from \cite{Jo} in many cases. We also give a general setup of decategorification, precategorification and categorification.

Author

Mazorchuk, Volodymyr; Stroppel, Catharina

Published

2007

Language

EN