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Mal'cev algebras for universal algebra terms
2006We discuss formal treatments of composition and terms in universal algebra, propositional logics etc. which may serve as an indispensable base for computer programs capable of term building and term comparison, an important problem in theoretical computer science.
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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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The universal enveloping algebra of sl2 and the Racah algebra
Communications in Algebra, 2020Hau-Wen Huang
exaly
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