FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 3, PAGES 161-178

Representations of Gelfand--Graev type for the unitriangular group

A. N. Panov

Abstract

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We consider the analog of Gelfand--Graev representations for the unitriangular group. We obtain the decomposition into a sum of irreducible representations, prove that these representations are multiplicity free, and calculate the Hecke algebra.

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