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The Gelfand–Graev Representation of U(3, q)

✍ Scribed by Julianne G. Rainbolt

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
330 KB
Volume
188
Category
Article
ISSN
0021-8693

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✦ Synopsis

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.

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The Generalized Gelfand–Graev Representa
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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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