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Subalgebras and finitistic dimensions of Artin algebras
Artin algebras representation dimension finitistic dimension
2011/9/16
Abstract: Let $A$ be an Artin algebra. We investigate subalgebras of $A$ with certain conditions and obtain some classes of algebras whose finitistic dimensions are finite.
A class of II_1 factors with many non conjugate Cartan subalgebras
non conjugate Cartan subalgebras Operator Algebras Dynamical Systems Group Theory
2011/8/26
Abstract: We construct a class of II_1 factors that admit a non smooth family of Cartan subalgebras that are non conjugate by an automorphism. We also construct a II_1 factor that admits uncountably m...
Spectral Invariance of Besov-Bessel Subalgebras
Banach algebra matrix algebra Besov spaces Bessel potential spaces
2011/2/21
Using principles of the theory of smoothness spaces we give systematic constructions of scales of inverse-closed subalgebras of a given Banach algebra with the action of a d-parameter automorphism gro...
Invariant subalgebras of affine vertex algebras
Invariant subalgebras affine vertex algebras
2010/11/15
Let g be a simple Lie algebra of dimension n over C, and let V_k(g) be the universal affine vertex algebra at level k. Suppose that G is a reductive group of automorphisms of V_k(g) for all k in C, an...
Fixed point subalgebras of Weil algebras: from geometric to algebraic questions
Fixed point subalgebras Weil algebras
2010/11/17
The paper is a survey of some results about Weil algebras applicable in differential geometry, especially in some classification questions on bundles of generalized velocities and contact elements. M...
Abelian subalgebras and the Jordan structure of a von Neumann algebra
von Neumann algebra Jordan structure abelian subalgebra orthomodular lattice
2010/12/13
For von Neumann algebrasM,N without type I2 summands, we show that for an orderisomorphism
f : AbSub M → AbSub N between the posets of abelian von Neumann-subalgebras of M and N, there is a unique Jo...
Sachs [16] showed that a Boolean algebra is determined by its lattice of subalgebras.We establish the corresponding result for orthomodular lattices. We show that an orthomodular lattice L is determin...
The Frattini subalgebras of $n$-Lie Algebras
$n$-Lie algebra the Frattini algebra Jacobson radical
2007/12/12
In this paper, we mainly study the structural notions of Frattini subalgebra and Jacobson radical of $n$-Lie algebras. The properties on Frattini subalgebra and the relationship between the Frattini s...
For any field F of characteristic zero,by g(F) we denote Chevalley algebras of the take of A-G, which are classical simple Lie algebras associated with Cartan matrices. Let X be an algebraically close...