Tokyo Journal of Mathematics

On the Centralizer Algebras of the Primitive Unitary Reflection Group of Order 96

Masashi KOSUDA and Manabu OURA

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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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Tokyo J. Math., Volume 39, Number 2 (2016), 469-482.

First available in Project Euclid: 20 January 2017

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Zentralblatt MATH identifier

Primary: 05E10: Combinatorial aspects of representation theory [See also 20C30]
Secondary: 05E05: Symmetric functions and generalizations 05E15: Combinatorial aspects of groups and algebras [See also 14Nxx, 22E45, 33C80] 05A18: Partitions of sets


KOSUDA, Masashi; OURA, Manabu. On the Centralizer Algebras of the Primitive Unitary Reflection Group of Order 96. Tokyo J. Math. 39 (2016), no. 2, 469--482. doi:10.3836/tjm/1484903133.

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