Journal of Siberian Federal University. Mathematics & Physics / Weight q-multiplicities for Representations of sp4(C)

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (4)
Authors
Harris, Pamela E.; Lauber, Edward L.
Contact information
Harris, Pamela E.: Williams College Williamstown, MA 01267 USA; ; Lauber, Edward L.: Williams College Williamstown, MA 01267 USA;
Keywords
Sympletic Lie algebra; Kostant partition functions; q-analog of Kostant partition function; weight q-multiplicity; weight multiplicity
Abstract

In this paper we present a closed formula for the values of the q-analog of Kostant’s partition function for the Lie algebra sp4(C) and use this result to give a simple formula for the q-multiplicity of a weight in the representations of the Lie algebra sp4(C). This generalizes the 2012 work of Refaghat and Shahryari that presented a closed formula for weight multiplicities in representations of the Lie algebra sp4(C)

Pages
494–502
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/34752