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A twisted generalization of Lie-Yamaguti algebras
Lie-Yamaguti algebra (i.e. generalized Lie triple system
2011/1/17
A twisted generalization of Lie-Yamaguti algebras, called Hom-Lie-Yamaguti algebras, is defined. Hom-Lie-Yamaguti algebras generalize Hom-Lie triple systems (and subsequently ternary Hom-Nambu algebra...
Homogeneous spaces, multi-moment maps and (2,3)-trivial algebras
Homogeneous spaces multi-moment maps (2,3)-trivial algebras
2011/1/17
For geometries with a closed three-form we briefly overview the notion of multimoment maps. We then give concrete examples of multi-moment maps for homogeneous hypercomplex and nearly K¨ahler manifold...
Duality for cochain DG algebras
Balanced dualizing complex Castelnuovo-Mumford re-gularity
2011/2/22
This paper develops a duality theory for connected cochain DG algebras, with particular emphasis on the non-com-mutative aspects.
We define Lie subalgebras of the group algebra of a finite pseudo-reflection group that are involved in the definition of the Cherednik KZsystems,and determine their structure.
Categories of partial algebras for critical points between varieties of algebras
Partial algebra congruence relation gamp pregamp variety of algebras
2011/1/19
We denote by Conc A the (∨, 0)-semilattice of all finitely generated congruences of an algebra A. A lifting of a (∨, 0)-semilattice S is an algebra A such that S ∼=Conc A.
Krall-Jacobi commutative algebras of partial differential operators
Krall-Jacobi commutative algebras partial differential operators
2010/11/18
We construct a large family of commutative algebras of partial differential operators invariant under rotations. These algebras are isomorphic extensions of the algebras of ordinary differential oper...