Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 136, Pages 31–55 (Mi into198)  
This article is cited in 2 scientific papers (total in 3 papers)

Supercharacters of unipotent and solvable groups

A. N. Panov

Samara National Research University
Full-text PDF (388 kB) Citations (3)
Abstract: The notion of the supercharacter theory was introduced by P. Diaconis and I. M. Isaaks in 2008. In this paper, we review the main notions and facts of the general theory and discuss the construction of the supercharacter theory for algebra groups and the theory of basic characters for unitriangular groups over a finite field. Based on his papers, the author constructs the supercharacter theory for finite groups of triangular type. The structure of the Hopf algebra of supercharacters for triangular groups over finite fields is also characterized.
Keywords: group representations, supercharacter theory, superclasses, Hopf algebra, orbit method.
Funding agency Grant number
Russian Science Foundation 16-41-01013
Deutsche Forschungsgemeinschaft 16-41-01013
This work was supported by the grant RSF-DFG 16-41-01013.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 235, Issue 6, Pages 714–739
DOI: https://doi.org/10.1007/s10958-018-4090-8
Bibliographic databases:
Document Type: Article
UDC: 512.547.2
MSC: 20C05, 20F16
Language: Russian
Citation: A. N. Panov, “Supercharacters of unipotent and solvable groups”, Proceedings of the Seminar on algebra and geometry of the Samara University, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 136, VINITI, Moscow, 2017, 31–55; J. Math. Sci. (N. Y.), 235:6 (2018), 714–739
Citation in format AMSBIB
\Bibitem{Pan17}
\by A.~N.~Panov
\paper Supercharacters of unipotent and solvable groups
\inbook Proceedings of the Seminar on algebra and geometry of the Samara University
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 136
\pages 31--55
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into198}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3808186}
\zmath{https://zbmath.org/?q=an:07001312}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 235
\issue 6
\pages 714--739
\crossref{https://doi.org/10.1007/s10958-018-4090-8}
Linking options:
  • https://www.mathnet.ru/eng/into198
  • https://www.mathnet.ru/eng/into/v136/p31
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:169
    Full-text PDF :62
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024