A non-abelian tensor product and universal central extension of Leibniz $n$-algebra
نویسندگان
چکیده
منابع مشابه
The non-abelian tensor product of normal crossed submodules of groups
In this article, the notions of non-abelian tensor and exterior products of two normal crossed submodules of a given crossed module of groups are introduced and some of their basic properties are established. In particular, we investigate some common properties between normal crossed modules and their tensor products, and present some bounds on the nilpotency class and solvability length of the...
متن کاملUniversal Central Extension of Current Superalgebras
Representation as well as central extension are two of the most important concepts in the theory of Lie (super)algebras. Apart from the interest of mathematicians, the attention of physicist are also drawn to these two subjects because of the significant amount of their applications in Physics. In fact for physicists, the study of projective representations of Lie (super)algebras are very impo...
متن کاملFiniteness of a Non Abelian Tensor Product of Groups
Some su cient conditions for niteness of a generalized non abelian tensor product of groups are established extending Ellis result for compatible actions The non abelian tensor product of groups was introduced by Brown and Loday following works of A Lue and R K Dennis It was de ned for any groups A and B which act on themselves by conjugation y xyx and each of which acts on the other such that ...
متن کاملSupersymmetic Extension of Non-Abelian Scalar-Tensor Duality
The field theory dual to the Freedman-Townsend model of a non-Abelian anti-symmetric tensor field is a nonlinear sigma model on the group manifold G. This can be extended to the duality between the Freedman-Townsend model coupled to Yang-Mills fields and a nonlinear sigma model on a coset space G/H. We present the supersymmetric extension of this duality, and find that the target space of this ...
متن کاملSupersymmetric Extension of the Non-Abelian Scalar-Tensor Duality
The field theory dual to the Freedman-Townsend model of a non-Abelian anti-symmetric tensor field is a nonlinear sigma model on the group manifold G. This can be extended to the duality between the Freedman-Townsend model coupled to Yang-Mills fields and a nonlinear sigma model on a coset space G/H. We present the supersymmetric extension of this duality and find that the target space of this n...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2004
ISSN: 1370-1444
DOI: 10.36045/bbms/1086969316