Super-biderivations and linear super-commuting maps on the Lie superalgebras
نویسندگان
چکیده
منابع مشابه
Biderivations and linear commuting maps on simple generalized Witt algebras over a field
Let W be a simple generalized Witt algebras over a field of characteristic zero. In this paper, it is proved that each anti-symmetric biderivation of W is inner. As an application of biderivations, it is shown that a linear map ψ on W is commuting if and only if ψ is a scalar multiplication map on W. The commuting automorphisms and derivations of W are determined.
متن کاملQuasi-classical Lie-super Algebra and Lie-super Triple Systems
Notions of quasi-classical Lie-super algebra as well as Lie-super triple systems have been given and studied with some examples. Its application to Yang-Baxter equation has also been given. 1991 Mathematics Subject Classification Primary 17A40, 17B60
متن کاملSuper Star Products and Quantum Superalgebras
We prove that the super star product on a Poisson Lie supergroup leads to the structure of quantum superalgebra ( triangular Hopf superalgebra) on the super quantized enveloping algebra of the Lie superalgebra of the Lie supergroup and that equivalents super star products generate isomorphic quantum superalgebras.
متن کاملon the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولW-superalgebras as Truncations of Super-yangians
We show that some finite W-superalgebras based on gl(M |N) are truncation of the super-Yangian Y (gl(M |N)). In the same way, we prove that finite W-superalgebras based on osp(M |2n) are truncation of the twisted super-Yangians Y (gl(M |2n)) +. Using this homomorphism, we present these W-superalgebras in an R-matrix formalism, and we classify their finite-dimensional irreducible representations.
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: Communications in Algebra
سال: 2020
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2020.1778715