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Conjectures of Alperin and Broue for 2-blocks with elementary abelian defect groups of order 8
Conjectures of Alperin Broue for 2-blocks elementary abelian defect groups of order 8
2011/2/21
Using the classification of finite simple groups, we prove Alperin’s weight conjecture
and the character theoretic version of Brou´e’s abelian defect conjecture for 2-blocks of finite groups wi...
On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture
On blocks stably equivalent to a quantum complete intersection of dimension 9 characteristic abelian defect group conjecture
2011/1/17
Using a stable equivalence due to Rouquier, we prove that Brou´e’s abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism class of sim...
Symmetric operators with real defect subspaces of the maximal dimension. Applications to differential operators
Symmetric operator Defect subspace Self-adjoint extension
2011/2/22
Let H be a Hilbert space and let A be a simple symmetric operator in H with equal deficiency indices d := n±(A) < 1. We show that if, for all in an open interval I R, the dimension of defect subsp...
2-Blocks with minimal nonabelian defect groups
blocks of finite groups minimal nonabelian defect groups Alperin’s conjecture Dade’s conjecture
2011/1/19
We study numerical invariants of 2-blocks with minimal nonabelian defect groups. These groups were classified by Rédei (see [41]). If the defect group is also metacyclic, then the block invariants are...
Defect of a Kronecker product of unitary matrices
unitary matrix kronecker product tensor product complex Hadamard
2010/12/9
The generalized defect D(U) of a unitary N ×N matrix U with no zero entries is the dimension of the real space of directions, moving into which from U we do not disturb the moduli |Ui,j | as well as t...
Broué's abelian defect group conjecture holds for the sporadic simple Conway group Co_3
Broué's abelian defect group conjecture the sporadic simple Conway group Co_3
2010/11/23
In the representation theory of finite groups, there is a well-known and important conjecture due to M. Brou\'e. He conjectures that, for any prime p, if a p-block A of a finite group G has an abelian...
In this paper, we provide a new characterization of uniformly recurrent words with finite defect based on a relation between the palindromic and factor complexity. Furthermore,
we introduce a class o...
Defect Modes and Homogenization of Periodic Schrödinger Operators
Defect Modes Homogenization of Periodic Schrö dinger Operators
2010/11/30
Defect Modes and Homogenization of Periodic Schrödinger Operators.
ASYMPTOTIC ERROR EXPANSION AND DEFECT CORRECTION FOR SOBOLEV ANDVISCOELASTICITY TYPE EQUATIONS
2007/12/12
In this paper we study the higher accuracy methods
$-$ the extrapolation and defect correction for the semidiscrete Galerkin approximations
to the solutions of Sobolev and viscoelasticity type equat...
Modulated Amplitude Waves and the Transition from Phase to Defect Chaos
Modulated Amplitude Waves Defect Chaos
2010/11/2
The mechanism for transitions from phase to defect chaos in the one-dimensional complex Ginzburg-Landau equation (CGLE) is presented. We introduce and describe periodic coherent structures of the CGL...