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Supercharacter theory for groups of invertible elements of reduced algebras


Author: A. N. Panov
Translated by: the author
Original publication: Algebra i Analiz, tom 27 (2015), nomer 6.
Journal: St. Petersburg Math. J. 27 (2016), 1035-1047
MSC (2010): Primary 20C15
DOI: https://doi.org/10.1090/spmj/1434
Published electronically: September 30, 2016
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Abstract: A supercharacter theory is constructed for the group of invertible elements of a reduced algebra. For the case of the triangular group, the values of supercharacters on superclasses are calculated.


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Additional Information

A. N. Panov
Affiliation: Samara State University, ul. Acad. Pavlova 1, 443011 Samara; Academician S. P. Korolev Samara State Aerospace University, Samara, Russia
Email: apanov@list.ru

DOI: https://doi.org/10.1090/spmj/1434
Keywords: Irreducible representations, supercharacter theory, reduced algebra, unitriangular group, algebra groups
Received by editor(s): May 15, 2015
Published electronically: September 30, 2016
Dedicated: To Sergeĭ Vladimirovich Vostokov on the occasion of his 70th birthday
Article copyright: © Copyright 2016 American Mathematical Society