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The image of the Lepowsky homomorphism for the group $F_4$
the Lepowsky homomorphism for group Representation Theory
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2011/8/24
Abstract: Let $G_o$ be a semisimple Lie group, let $K_o$ be a maximal compact subgroup of $G_o$ and let $\mathfrak{k}\subset\mathfrak{g}$ denote the complexification of their Lie algebras. Let $G$ be ...
Additive groups and semigroups of matrices on which the exponential is a homomorphism
matrix pencils commuting exponentials property L
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2011/2/24
Let G be a subgroup of (Mn(C),+). We show that M 7→ exp(M)is a group homomorphism from G to (GLn(C),×) if and only if G con-sists of commuting matrices. We also prove that if S is a sub-semigroup of (...
On the Relative Weak Asymptotic Homomorphism Property for Pairs of Groups von Neumann Algebras
the Relative Weak Asymptotic Homomorphism Property Pairs Groups von Neumann Algebras
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2010/11/9
We provide a direct and elementary proof of the equivalence between the weak asymptotic homomorphism property for the pair of group von Neumann algebras $L(H)\subset L(G)$ and the embedding into $H$ ...
ON SURJECTIVITY OF THE ARENS HOMOMORPHISM
ARENS HOMOMORPHISM properties
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2010/3/17
We define approximate separation and extension properties of a Banach lattice and study the relation between these and topological fullness of the ideal centre. Banach lattices with topologically full...