Symmetric forms, idempotents and involutary antiisomorphisms
نویسندگان
چکیده
منابع مشابه
Primitive central idempotents of finite group rings of symmetric groups
Let p be a prime. We denote by Sn the symmetric group of degree n, by An the alternating group of degree n and by Fp the field with p elements. An important concept of modular representation theory of a finite group G is the notion of a block. The blocks are in one-to-one correspondence with block idempotents, which are the primitive central idempotents of the group ring FqG, where q is a prime...
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Let Xn and Yn be the sets of quadratic forms and symmetric bilinear forms on an n-dimensional vector space V over Fq , respectively. The orbits of GLn(Fq ) on Xn × Xn define an association scheme Qua(n, q). The orbits of GLn(Fq ) on Yn × Yn also define an association scheme Sym(n, q). Our main results are: Qua(n, q) and Sym(n, q) are formally dual. When q is odd, Qua(n, q) and Sym(n, q) are iso...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1992
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000003883