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The operator algebra approach to quantum groups. [PDF]
Kustermans J, Vaes S.
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Capelli's theory, Koszul maps, and superalgebras. [PDF]
Brini A, Teolis AG.
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Spacelike Singularities and Hidden Symmetries of Gravity. [PDF]
Henneaux M, Persson D, Spindel P.
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Universal enveloping conformal algebras
Selecta Mathematica, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantized Universal Enveloping Algebras
2020In this chapter we collect background material on quantized universal enveloping algebras. We give in particular a detailed account of the construction of the braid group action and PBW-bases, and discuss the finite dimensional representation theory in the setting that the base field \( \mathbb {K} \) is an arbitrary field and the deformation parameter
Christian Voigt, Robert Yuncken
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Lie metabelian restricted universal enveloping algebras
Archiv der Mathematik, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SICILIANO, Salvatore, SPINELLI, Ernesto
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1996
For a complex Lie algebra g, the universal enveloping algebra U(g) is an explicit complex associative algebra with identity having the property that any Lie algebra homomorphism of g into an associative algebra A with identity “extends” to an associative algebra homomorphism of U(g) into A and carrying 1 to 1.
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For a complex Lie algebra g, the universal enveloping algebra U(g) is an explicit complex associative algebra with identity having the property that any Lie algebra homomorphism of g into an associative algebra A with identity “extends” to an associative algebra homomorphism of U(g) into A and carrying 1 to 1.
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Formality and Deformations of Universal Enveloping Algebras
International Journal of Theoretical Physics, 2007The main objective of this paper is to describe the universal enveloping algebras of finite dimensional Lie algebras that satisfy the following constraints: their Hochschild complex, seen as differential graded Lie algebra, is quasi-isomorphic to its Hochschild cohomology. This enlarges and completes previous work of the authors [\textit{M.
Bordemann, Martin, Makhlouf, Abdenacer
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Some Norms on Universal Enveloping Algebras
Canadian Journal of Mathematics, 1998AbstractThe universal enveloping algebra,U(𝔤), of a Lie algebra 𝔤 supports some norms and seminorms that have arisen naturally in the context of heat kernel analysis on Lie groups. These norms and seminorms are investigated here from an algebraic viewpoint.
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