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Generalized matrix functions, determinant and permanent
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We define the commuting algebra determinant of a finite group action on a finite set, a notion dual to the group determinant of Dedekind. We show that the following combinatorial example is a commuting algebra determinant. Let Bq(n) denote the set of all subspaces of an n-dimensional vector space over Fq. The type of an ordered pair (U, V ) of subspaces, where U, V ∈ Bq(n), is the ordered tripl...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1955
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1955-0069207-2