The enveloping algebra of the Lie superalgebra osp(1, 2)
نویسندگان
چکیده
منابع مشابه
THE MINIMAL PRIMITIVE SPECTRUM OF THE ENVELOPING ALGEBRA OF THE LIE SUPERALGEBRA osp(1, 2l)
A well known theorem of Duflo, the “annihilation theorem”, claims that the annihilator of a Verma module in the enveloping algebra of a complex semisimple Lie algebra is centrally generated. For the Lie superalgebra osp(1, 2l), this result does not hold. In this article, we introduce a “correct” analogue of the centre for which the annihilation theorem does hold in the case osp(1, 2l). This sub...
متن کاملPrimeness of the Enveloping Algebra of a Cartan Type Lie Superalgebra
We show that a primeness criterion for enveloping algebras of Le superalgebras discovered by Bell is applicable to the Cartan type Lie superal-gebras W(n), n even. Other algebras are considered but there are no deenitive answers in these cases. Allen Bell has shown in B] that if L is a nite-dimensional Lie superalgebra over a eld of characteristic zero, then the primeness of the universal envel...
متن کاملPrimeness of the Enveloping Algebra of the Special Lie Superalgebras
A primeness criterion due to Bell is shown to apply to the universal enveloping algebra of the Cartan type Lie superal-gebras S(V) and e S(V ; t) when dim V is even. This together with other recent papers yields Theorem. Let L be a nite-dimensional simple Lie superalgebra over an algebraically closed eld of characteristic zero. Then L satisses Bell's criterion (so that U(L) is prime), unless L ...
متن کاملTwisted affine Lie superalgebra of type Q and quantization of its enveloping superalgebra
We introduce a new quantum group which is a quantization of the enveloping superalgebra of a twisted affine Lie superalgebra of type Q. We study generators and relations for superalgebras in the finite and twisted affine cases, and also universal central extensions. Afterwards, we apply the FRT formalism to a certain solution of the quantum Yang-Baxter equation to define that new quantum group ...
متن کاملDerivations of the Algebra of Sections of Superalgebra Bundles
In this paper we review the concepts of the superalgebra, superderivation and some properties of them. We will define algebraic and differential superderivations on a superalgebra and will prove some theorems about them, Then we consider a superalgebra bundle, that is an algebra bundle which its fibers are superalgebras and then characterize the superderivations of the algebra of sections of th...
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: Journal of Algebra
سال: 1990
ISSN: 0021-8693
DOI: 10.1016/0021-8693(90)90265-p