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Towards a Supercharacter Theory of Parabolic Subgroups

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Abstract

A supercharacter theory is constructed for the parabolic subgroups of the group GL(n, Fq) with blocks of orders less or equal to two. The author formulated the hypotheses on construction of a supercharacter theory for an arbitrary parabolic subgroup in GL(n, Fq).

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Acknowledgments

The work was performed at the NRU HSE with the support from the Russian Science Foundation, Grant No.16-41-01013.

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Authors and Affiliations

  1. Department of Mathematics, Samara University, ul. Akademika Pavlova 1, Samara, 443011, Russia

    A. N. Panov

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  1. A. N. Panov
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Correspondence to A. N. Panov.

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Presented by: Valentin Ovsienko

To my teacher A. A. Kirillov on his 81th birthday

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Panov, A.N. Towards a Supercharacter Theory of Parabolic Subgroups. Algebr Represent Theor 21, 1133–1149 (2018). https://doi.org/10.1007/s10468-018-9780-x

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  • DOI: https://doi.org/10.1007/s10468-018-9780-x

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