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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, Volume 7, Issue 2, Pages 254–268
DOI: https://doi.org/10.21638/11701/spbu01.2020.208 (Mi vspua187) 		 
This article is cited in 1 scientific paper (total in 1 paper)

ON THE ANNIVERSARY OF A. I. GENERALOV

Supercharacter theory for the borel contraction of the group $Gl(n, F_q)$

A. N. Panov

Samara National Research University, 1, ul. Akademika Pavlova, Samara, 443086, Russian Federation
Full-text PDF (373 kB) Citations (1)
DOI: https://doi.org/10.21638/11701/spbu01.2020.208
Abstract: The notion of a supercharacter theory was introduсed by P. Diaconis and I. M. Isaacs in 2008. A supercharacter theory for a given finite group is a pair of a system of certain complex characters of the group and its partition into classes that have properties similar to the irreducible characters and conjugacy classes. In the present paper, we consider the group obtained by a group contraction from the general linear group over a finite field. For this group, we construct a supercharacter theory. In terms of rook placements, we classify supercharacters and superclasses, calculate values of supercharacters on superclasses.
Keywords: group representations, irreducible characters, supercharacter theory, superclasses, algebra group.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00091a
The work is supported by Russian Foundation for Basic Research (grant N 20-01-00091a).
Received: 21.10.2019
Revised: 11.12.2019
Accepted: 12.12.2019
English version:
Vestnik St. Petersburg University, Mathematics, 2020, Volume 7, Issue 2, Pages 162–173
DOI: https://doi.org/10.1134/S1063454120020132
Document Type: Article
UDC: 512.547
MSC: 20C33
Language: Russian
Citation: A. N. Panov, “Supercharacter theory for the borel contraction of the group $Gl(n, F_q)$”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:2 (2020), 254–268; Vestn. St. Petersbg. Univ., Math., 7:2 (2020), 162–173
Citation in format AMSBIB
\Bibitem{Pan20}
\by A.~N.~Panov
\paper Supercharacter theory for the borel contraction of the group $Gl(n, F_q)$
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2020
\vol 7
\issue 2
\pages 254--268
\mathnet{http://mi.mathnet.ru/vspua187}
\crossref{https://doi.org/10.21638/11701/spbu01.2020.208}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2020
\vol 7
\issue 2
\pages 162--173
\crossref{https://doi.org/10.1134/S1063454120020132}
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    • This publication is cited in the following 1 articles:
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