Lamei Yuan
Hom-Novikov Algebras and Hom-Novikov-Poisson Algebras.
Tue, 05/01/2012 - 15:01 — SomNambulAuthors: Lamei Yuan, Hong You
Subjects: Rings and Algebras
AbstractThe purpose of this paper is to study Hom-Novikov algebras and
Hom-Novikov-Poisson algebras, both of which were defined by Yau. In the paper,
we give several constructions leading us to some interesting examples of
Hom-Novikov algebras and Hom-Novikov-Poisson algebras. Also, we introduce the
notion of quadratic Hom-Novikov algebras and provide some properties.Hom-Lie color algebra structures.
Mon, 05/10/2010 - 15:01 — SomNambulAuthors: Lamei Yuan
Subjects: Rings and Algebras
AbstractThis paper introduces the notion of Hom-Lie color algebra, which is a natural
general- ization of Hom-Lie (super)algebras. Hom-Lie color algebras include
also as special cases Lie (super) algebras and Lie color algebras. We study the
homomorphism relation of Hom-Lie color algebras, and construct new algebras of
such kind by a \sigma-twist. Hom-Lie color admissible algebras are also defined
and investigated. They are finally classified via G-Hom-associative color
algebras, where G is a subgroup of the symmetric group S_3.
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