DG Poisson algebra and its universal enveloping algebra
نویسندگان
چکیده
منابع مشابه
Differential Hopf algebra structures on the universal enveloping algebra of a lie algebra
We discuss a method to construct a De Rham complex (diierential algebra) of Poincar e-Birkhoo-Witt-type on the universal enveloping algebra of a Lie algebra g. We determine the cases in which this gives rise to a diierential Hopf algebra that naturally extends the Hopf algebra structure of U(g). The construction of such diierential structures is interpreted in terms of colour Lie superalgebras.
متن کاملQUANTIZED UNIVERSAL ENVELOPING ALGEBRA OF sl2 AND THE ASSOCIATED BRAIDING
In this text we use the quantum double construction to show that a suitable category of finite dimensional left U -modules is braided, where U is the quantized universal enveloping algebra of sl2(k). We produce the expression of the corresponding braiding as the action of a formal universal R-matrix for U . We indicate the generalization to sln(k) and the relation to Hecke algebras and Temperle...
متن کاملOn Existence and Uniqueness of Universal Enveloping Locally C*-algebra for a Locally Jb-algebra
A theorem is presented on existence and uniqueness up to the topological *-isomorphism of universal locally C*-algebra for an arbitrary locally JB-algebra. The abstract Banach associative symmetrical *-algebras over C, so called C*algebras, were introduces first by Gelfand and Naimark in []. In the present time the theory of C*-algebras become a vast portion of Functional Analysis having connec...
متن کاملUniversal enveloping algebras of the four-dimensional Malcev algebra
We determine structure constants for the universal nonassociative enveloping algebra U(M) of the four-dimensional non-Lie Malcev algebra M by constructing a representation of U(M) by differential operators on the polynomial algebra P (M). These structure constants involve Stirling numbers of the second kind. This work is based on the recent theorem of Pérez-Izquierdo and Shestakov which general...
متن کاملExponentiations over the universal enveloping algebra of sl2(C)
We construct, by model-theoretic methods, several exponentiations on the universal enveloping algebra U of the Lie algebra sl2(C). MSC: 16S30, 17B10, 03C60.
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: Science China Mathematics
سال: 2016
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-016-5127-4