Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс:
http://hdl.handle.net/11701/17938
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Panov, Aleksandr N. | - |
dc.date.accessioned | 2020-05-28T17:17:50Z | - |
dc.date.available | 2020-05-28T17:17:50Z | - |
dc.date.issued | 2020-06 | - |
dc.identifier.citation | 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. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu01.2020.208 | - |
dc.identifier.uri | http://hdl.handle.net/11701/17938 | - |
dc.description.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. | en_GB |
dc.description.sponsorship | The work is supported by Russian Foundation for Basic Research (grant N20-01-00091a). | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 7 (65); Issue 2 | - |
dc.subject | group representations | en_GB |
dc.subject | irreducible characters | en_GB |
dc.subject | supercharacter theory | en_GB |
dc.subject | superclasses | en_GB |
dc.subject | algebra group | en_GB |
dc.title | Supercharacter theory for the Borel contraction of the group GL(n, Fq) | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 2 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
---|---|---|---|---|
254-268.pdf | 375,76 kB | Adobe PDF | Просмотреть/Открыть |
Все ресурсы в архиве электронных ресурсов защищены авторским правом, все права сохранены.