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