Block idempotents and the Brauer correspondence
نویسندگان
چکیده
منابع مشابه
Robinson-Schensted Correspondence for the Signed Brauer Algebras
In this paper, we develop the Robinson-Schensted correspondence for the signed Brauer algebra. The Robinson-Schensted correspondence gives the bijection between the set of signed Brauer diagrams d and the pairs of standard bi-domino tableaux of shape λ = (λ1, λ2) with λ1 = (2 2f ), λ2 ∈ Γf,r where Γf,r = {λ|λ ` 2(n − 2f) + |δr| whose 2−core is δr, δr = (r, r − 1, . . . , 1, 0)}, for fixed r ≥ 0...
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In [4] Conlon has successfully generalized much of the theory of modular representations to the projective case. However his generalization [4, p. 166] of one of Brauer's main theorems on blocks [3, 10B], [5] is not entirely satisfactory. In Theorem 1 we present another generalization which is closer than Conlon's to the original Brauer theorem, and in Theorem 2 we indicate an application invol...
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An algebra is a vector space V over a field k together with a kbilinear product of vectors under which V is a ring. A certain class of algebras, called Brauer algebras algebras which split over a finite Galois extension appear in many subfields of abstract algebra, including K-theory and class field theory. Beginning with a definition of the the tensor product, we define and study Brauer algebr...
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متن کاملCohomology Algebras of Blocks of Finite Groups and Brauer Correspondence II
Let k be an algebraically closed field of characteristic p. We shall discuss the cohomology algebras of a block ideal B of the group algebra kG of a finite group G and a block ideal C of the block ideal of kH of a subgroup H of G which are in Brauer correspondence and have a common defect group, continuing [4]. We shall define a (B,C)-bimodule L. The k-dual L∗ induces the transfer map between t...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1971
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700047298