In this paper we explicitly calculate the irreducible representations of the endomorphism algebra of the Gelfand᎐Graev representation of the unitary group Ž . U 3, q . In addition, we compute the structure constants of this endomorhphism algebra.
The Generalized Gelfand–Graev Representations of U(3, q)
✍ Scribed by Julianne G Rainbolt
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 296 KB
- Volume
- 202
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
There are three distinct generalized Gelfand᎐Graev representations of the Ž . unitary group U 3, q . One is the regular representation and one is the usual Gelfand᎐Graev representation. The third generalized Gelfand᎐Graev representation is the one we examine in this paper.
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