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December 2016 On the Centralizer Algebras of the Primitive Unitary Reflection Group of Order 96
Masashi KOSUDA, Manabu OURA
Tokyo J. Math. 39(2): 469-482 (December 2016). DOI: 10.3836/tjm/1484903133

Abstract

Among the unitary reflection groups, the one on the title is singled out by its importance in, for example, coding theory and number theory. In this paper we examine the semi-simple structure of the centralizer algebra in the tensor representation, and show that the dimensions of the centralizers coincide with the numbers of some combinatorial objects.

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Masashi KOSUDA. Manabu OURA. "On the Centralizer Algebras of the Primitive Unitary Reflection Group of Order 96." Tokyo J. Math. 39 (2) 469 - 482, December 2016. https://doi.org/10.3836/tjm/1484903133

Information

Published: December 2016
First available in Project Euclid: 20 January 2017

zbMATH: 1358.05306
MathSciNet: MR3599504
Digital Object Identifier: 10.3836/tjm/1484903133

Subjects:
Primary: 05E10
Secondary: 05A18 , 05E05 , 05E15

Rights: Copyright © 2016 Publication Committee for the Tokyo Journal of Mathematics

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Vol.39 • No. 2 • December 2016
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