On multiplicities of simple subquotients in generalized Verma modules

Abstract:

We reduce the problem on multiplicities of simple subquotients in an \alpha-stratified generalized Verma module to the analogous problem for classical Verma modules.

Keywords: simple Lie algebra; Verma module; multiplicity

Language: English

Document Type: Research article

Affiliations: 1: Dept. of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska st., 01033 Kyiv, Ukraine; present address: A. Khomenko, Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Eckerstraße 1, 79104 Freiburg im Breisgau, Germany, khomenko@mathematik.uni-freiburg.de 2: Dept. of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska st., 01033 Kyiv, Ukraine; present address: V. Mazorchuk, Department of Mathematics, Uppsala University, Box 480, SE-75106, Uppsala, Sweden, mazor@math.uu.se