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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
On blocks stably equivalent to a quantum complete intersection of dimension 9 characteristic abelian defect group conjecture
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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...
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
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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...
Flat Pseudo-Riemannian Homogeneous Spaces with Non-Abelian Holonomy Group
Flat Pseudo-Riemannian Homogeneous Spaces Non-Abelian Holonomy Group
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2010/12/8
We construct homogeneous flat pseudo-Riemannian manifolds with non-abelian fundamental group. In the compact case, all homogeneous flat pseudo-Riemannian manifolds are complete and have abelian linear...
Braids and symplectic four-manifolds with abelian fundamental group
four-manifolds abelian fundamental group
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2010/3/1
We explain how a version of Floer homology can be used as an invariant of symplectic manifolds with b1>0. As a concrete example, we look at four-manifolds produced from braids by a surgery constructio...