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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 3, Pages 161–178 (Mi fpm1522)  
Representations of Gelfand–Graev type for the unitriangular group

A. N. Panov

Samara State University, Samara, Russia
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Abstract: 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.
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 206, Issue 5, Pages 570–582
DOI: https://doi.org/10.1007/s10958-015-2334-4
Bibliographic databases:
Document Type: Article
UDC: 512.547
Language: Russian
Citation: A. N. Panov, “Representations of Gelfand–Graev type for the unitriangular group”, Fundam. Prikl. Mat., 18:3 (2013), 161–178; J. Math. Sci., 206:5 (2015), 570–582
Citation in format AMSBIB
\Bibitem{Pan13}
\by A.~N.~Panov
\paper Representations of Gelfand--Graev type for the unitriangular group
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 3
\pages 161--178
\mathnet{http://mi.mathnet.ru/fpm1522}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431808}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 206
\issue 5
\pages 570--582
\crossref{https://doi.org/10.1007/s10958-015-2334-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84953345592}
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    		Фундаментальная и прикладная математика
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