In mathematics, the Brauer–Wall group or super Brauer group or graded Brauer group for a field F is a group BW(F) classifying finite-dimensional graded...
5 KB (549 words) - 21:00, 16 July 2024
discriminant, rank mod 2 and Hasse invariant defines a map from W(K) to the Brauer–Wall group BW(K). Let K be a complete local field with valuation v, uniformiser...
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mathematics, the Brauer–Suzuki–Wall theorem, proved by Brauer, Suzuki & Wall (1958), characterizes the one-dimensional unimodular projective groups over finite...
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theory, of which he was one of the founders. In 1964 he introduced the Brauer–Wall group of a field. His 1970 research monograph "Surgery on Compact Manifolds"...
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mathematics, a Brauer algebra is an associative algebra introduced by Richard Brauer in the context of the representation theory of the orthogonal group. It plays...
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identity" and the graded Leibniz rule. The Graded Brauer group is a synonym for the Brauer–Wall group B W ( F ) {\displaystyle BW(F)} classifying finite-dimensional...
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CA-groups were shown to be simple or solvable in (Weisner 1925). Then in the Brauer–Suzuki–Wall theorem (Brauer, Suzuki & Wall 1958), finite CA-groups of...
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handled with the Brauer–Suzuki theorem: in particular there are no simple groups of 2-rank 1 except for the cyclic group of order two. Groups of 2-rank 2....
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include diagram algebras such as the Brauer algebra, the Temperley–Lieb algebra, or the group algebra of the symmetric group. Representations of the partition...
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Brauer–Suzuki–Wall theorem (group theory) Brauer's theorem (number theory) Brauer's theorem on induced characters (representation theory of finite groups) Brauer's...
73 KB (6,015 words) - 12:17, 2 August 2024