Journal of Siberian Federal University. Mathematics & Physics / Kostant Partition Function for sp4(C)

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2012 5 (1)
Authors
Refaghat, Hasan; Shahryari, Mohammad
Contact information
Refaghat, Hasan : Department of Mathematics, Islamic Azad University (Tabriz Branch) , Tabriz, Iran; Shahryari, Mohammad : Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz , Tabriz, Iran , e-mail:
Keywords
symplectic Lie algebra; Kostant partition function; Weyl group; weight multiplicity
Abstract

In this note, we obtain exact values of the partition function of Kostant for the simple Lie algebra sp4(C). Using the values of the partition function, we can find the weight multiplicities of irreducible representations of sp4(C) by a simple computation.

Pages
18-24
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/2616