Results 151 to 160 of about 16,231 (186)

PROJECTIVE MODULES OVER UNIVERSAL ENVELOPING ALGEBRAS

Mathematics of the USSR-Izvestiya, 1985
Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 48, No.6, 1123-1137 (Russian) (1984; Zbl 0567.16014)].
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The Universal Enveloping Algebra

2004
We have seen that elements of the Lie algebra of a Lie group G are derivations of C ∞ (G). They are thus first-order differential operators that are left-invariant. The universal enveloping algebra is a purely algebraically defined ring that may be identified with the ring of all left-invariant differential operators, including higher-order ones.
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The Universal Enveloping Algebra

1993
As is well known (see §19 of Encycl. Math. Sc. 11) every associative algebra A can be turned into a Lie algebra L(A) by replacing its multiplication (a, b) → ab by the commutator [a, b] = ab — ba. Clearly, every homomorphism of associative algebras is automatically a homomorphism of the corresponding Lie algebras, i.e.
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The Isomorphism Problem for Universal Enveloping Algebras of Lie Algebras

Algebras and Representation Theory, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Riley, David, Usefi, Hamid
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Yangians and universal enveloping algebras

Journal of Soviet Mathematics, 1989
The author constructs an associative algebra A by a two-fold limit procedure taking first the projective limit \(A_ m\) of suitably chosen subalgebras \(A_ m(n)\) of the enveloping algebras U(\({\mathfrak gl}(n))\), and then the direct limit with respect to \(m\to \infty\).
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The Universal Enveloping Algebra

1981
The universal enveloping algebra of a Lie algebra is the analogue of the usual group algebra of a group. It has the analogous function of exhibiting the category of Lie algebra modules as a category of modules for an associative algebra. This becomes more than an analogy when the universal enveloping algebra is viewed with its full Hopf algebra ...
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Universal Enveloping Algebras of $A_infty$-Algebras

This paper explores the construction and properties of universal enveloping algebras in the context of $A_infty$-algebras. $A_infty$-algebras, also known as strongly homotopy associative algebras, generalize associative algebras by relaxing the associativity condition up to a coherent system of higher homotopies. These structures play a crucial role in
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Universal Enveloping Algebras of Lie Antialgebras

2009
Lie antialgebras is a class of supercommutative algebras recently appeared in symplectic geometry. We define the notion of enveloping algebra of a Lie antialgebra and study its properties. We show that every Lie antialgebra is canonically related to a Lie superalgebra and prove that its enveloping algebra is a quotient of the enveloping algebra of the ...
Leidwanger, S��verine, Morier-Genoud, Sophie   +1 more
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The connection between the universal enveloping C*-algebra and the universal enveloping von Neumann algebra of a JW-algebra

Mathematical Proceedings of the Cambridge Philosophical Society, 1992
AbstractThis article aims to study the relationship between the universal enveloping C*-algebra C*(M) and the universal enveloping von Neumann algebra W*(M), when M is a JW-algebra. In our main result (Theorem 2·7) we show that C*(M) can be realized as the C*-subalgebra of W*(M) generated by M.
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Hopf algebras and universal enveloping algebras

2008
Bangming Deng, Jie Du, Brian Parshall, Jianpan Wang   +3 more
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