[PDF] Top 20 The blocks of the Brauer algebra in characteristic zero
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The blocks of the Brauer algebra in characteristic zero
... of blocks by giving a necessary condition for two weights to be in the same ...the algebra on standard modules, and inductive arguments using Frobenius ... See full document
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The limiting blocks of the Brauer algebra in characteristic p
... In Section 2 we provide the notation and definitions used subsequently, as well as a review of some basic results. Section 3 introduces a variation of the abacus and describes some movement of beads across runners. ... See full document
22
On the blocks of the walled Brauer algebra
... walled Brauer algebras by constructing non-zero homomorphisms between cell mod- ules whose weights differ by two boxes (and satisfy the content condition in Theorem ...the blocks in ... See full document
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A geometric characterisation of the blocks of the Brauer algebra
... of Brauer algebras; details can be found in ...of characteristic p ≥ 0, and some δ ∈ k. For n ∈ N the Brauer algebra B n ( δ ) can be defined in terms of a basis of partitions of {1, ... See full document
24
On Brauer algebra simple modules over the complex field
... In Section 3, we recall the construction of weight diagrams and cap diagrams associated to every partition λ and integer δ introduced in [14] and [2]. We develop some of their properties and recall how these can be used ... See full document
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Alcove geometry and a translation principle for the Brauer algebra
... the Brauer algebras in Section 6, with the aim of prov- ing that two blocks corresponding to weights in the same facet have the same representation theory (Corollary ...the Brauer algebra is ... See full document
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Decomposition numbers for Brauer algebras of type G(m,p,n) in characteristic zero
... The Brauer algebra was defined to play the role of the symmetric group algebra in a Schur–Weyl duality with the orthogonal (or symplectic) ... See full document
15
Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra
... the Brauer [CDM09b] and walled Brauer algebras [CDDM08] which we will review ...the Brauer algebra have weakly Morita equivalent blocks in the sense of Theorem ...walled Brauer ... See full document
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On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture
... isomorphism class of simple modules. Then A and C are Morita equivalent as k-algebras. The above theorem is the first of its kind in that it proves a case of the abelian defect group conjecture for all blocks with ... See full document
22
The blocks of the partition algebra in positive characteristic
... Notations: The following notations will be used throughout the paper, except for Sections 1 and 2. We fix a prime number p and a p-modular system (K, R, k), that is, R is a discrete valuation ring with maximal ideal m = ... See full document
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Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero
... We have seen that the induction and restriction functors for B n m decompose into signed versions. We saw in Lemma 3.2.2 and Proposition 3.2.4 that when r 6= m − r, the ξ r - and ξ m−r -functors ‘pair-off’ in a manner ... See full document
22
The blocks of the partition algebra in positive characteristic
... the blocks of the partition algebra P n F (δ), when δ lies in the prime subfield of F , in terms of the action of an affine reflection group of type ...the blocks of the Brauer algebra ... See full document
29
The decomposition matrices of the Brauer algebra over the complex field
... As the derivation of our main result is somewhat involved, we end here with a brief preview of the result itself. For each fixed δ ∈ Z (the cases δ 6∈ Z are semisimple [23]), the rows and columns of the limit ... See full document
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Quasi-isolated blocks and Brauer's height zero conjecture
... the blocks if Lusztig induction from suitable Levi subgroups can be shown to satisfy a generalised Harish-Chandra ...in characteristic p and ℓ 6 = p a bad prime for ... See full document
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On blocks of defect two and one simple module, and Lie algebra structure of HH¹
... prime characteristic p. We calculate the Lie algebra structure of the first Hochschild cohomology of a class of quantum complete intersections over ...group algebra kG whose Brauer ... See full document
22
Conic bundle fourfolds with nontrivial unramified Brauer group
... Abstract. We derive a formula for the unramified Brauer group of a general class of rationally connected fourfolds birational to conic bundles over smooth threefolds. We produce new examples of conic bundles over ... See full document
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The indecomposability of a certain bimodule given by the Brauer construction
... block algebra and its Brauer corre- ...considered blocks; see ...nonprincipal blocks of the simple Held group and the sporadic Suzuki ... See full document
6
Bad reduction of the Brauer–Manin obstruction
... the Brauer group, dis- cussed by Grothendieck in Section 6 of [20], which describes what happens to the Brauer group of a regular scheme when a regular subscheme is ...the Brauer group of a variety ... See full document
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The Brauer complex and its applications to the Chevalley groups
... CHAPTER 6 THE BRAUER COMPLEX AND THE NUMBER OF a-STABLE SEMI-SIMPLE' CONJUGACY GLASSES IN A GIVEN FAMILY In this chapter G will denote a simple simply connected' algebraic group... So in[r] ... See full document
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On saturated fusion systems and Brauer indecomposability of Scott modules
... of Brauer indecomposability of p-permutation modules (or rather bimod- ules) plays a role in the “glueing processes” used for proving categorical equivalences between p-blocks of finite groups as predicted ... See full document
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