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...
متن کاملBrauer Algebras and the Brauer Group
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...
متن کاملBrauer Points on Fermat Curves
The Hasse principle is said to hold for a class of varieties over a number field K if for any variety X in the class, the set of rational points X(K) is non-empty whenever the set of adelic points X(AK) is non-empty. Manin [Man] observed that the failure of the Hasse principle can often be explained in terms of the Brauer group of X, Br(X). The product rule implies that X(K) must be contained i...
متن کاملBrauer Obstructions of Finite Groups of Lie Type in View of the Local Langlands Correspondence
In general, it is difficult to characterize the Brauer obstructions of absolutely irreducible representations of a finite group in a uniform manner. For some finite groups of Lie type, one can use their richer structure to calculate the local Brauer obstructions, and a complete characterization of the local obstructions has been known for several classical groups, including general linear group...
متن کاملCombinatorics on Brauer-type semigroups
The Brauer semigroup Bn of partitions of a 2n-element set into two-element subsets, can be generalized in various ways. For example we may consider arbitrary partitions to obtain the semigroup Cn. The visualization of elements of these semigroups as chips leads us to the Temperley-Lieb semigroup TLn and its analogue TLCn. We study combinatorial properties of these four semigroups. For example, ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1977
ISSN: 0021-8693
DOI: 10.1016/0021-8693(77)90220-4