title: Supercharacter theory for the Borel contraction of the group GL(n, Fq)
metadata.name: dc.contributor.author
metadata.value: Panov, Aleksandr N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-05-28T17:17:50Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-05-28T17:17:50Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Panov A.N. Supercharacter theory for the Borel contraction of the group GL(n, Fq). Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 2, pp. 254–268.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2020.208
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17938
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: 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.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by Russian Foundation for Basic Research (grant N20-01-00091a).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 7 (65); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: group representations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: irreducible characters
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: supercharacter theory
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: superclasses
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: algebra group
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Supercharacter theory for the Borel contraction of the group GL(n, Fq)
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 254-268.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17938/1/254-268.pdf
resources.format: Adobe PDF
resources.size: 375,76 kB