Regular representations of discrete groups
نویسندگان
چکیده
منابع مشابه
Distinguished positive regular representations
Let $G$ be a tamely ramified reductive $p$-adic group. We study distinction of a class of irreducible admissible representations of $G$ by the group of fixed points $H$ of an involution of $G$. The representations correspond to $G$-conjugacy classes of pairs $(T,phi)$, where $T$ is a tamely ramified maximal torus of $G$ and $phi$ is a quasicharacter of $T$ whose restriction t...
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By a quasi-permutation matrix we mean a square matrix over the complex field C with non-negative integral trace. Thus, every permutation matrix over C is a quasipermutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or of a faithful representation of G by permutation matrices), let q(G) denote the minimal degree of a fa...
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The problem of describing identities of concrete algebraic structures is traditionally one of the most attractive in variety theory. Very often it is a difficult problem, and many deep works are entirely devoted to finding bases of identities of classical algebraic objects. This paper was initiated by attempts to find bases of identities for certain representations of finite groups. Let F be th...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1972
ISSN: 0022-1236
DOI: 10.1016/0022-1236(72)90062-6