Journal Article On the centralizer algebras of the primitive unitary reflection group of order 96

Kosuda, Masashi  ,  Oura, Manabu

39 ( 2 )  , pp.469 - 482 , 2016-12-01 , International Academic Printing Co. Ltd. / Kinokuniya Book Store Co.
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. © 2016, International Academic Printing Co. Ltd. All rights reserved.
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