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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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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 inopenaire +1 more source
The germanium quantum information route
Nature Reviews Materials, 2020Giordano Scappucci +2 more
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