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Advanced Topics in Algebra

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Scope of this subject

This cluster of papers focuses on the deformations, structures, and classifications of Hom-Lie algebras, including their connections to Hopf algebras, renormalization in quantum field theory, derivations, and cohomology. It also explores related topics such as Baxter algebras, quasi-Lie algebras, and gradings.

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Research vocabulary

Lie algebras; Hopf algebras; nonassociative algebras; universal enveloping algebra; Lie superalgebras; nilpotent Lie algebras; classification of Lie algebras; characteristic zero; simple Lie algebras; associative algebras; Leibniz algebras; solvable Lie algebras; Lie algebra cohomology; semisimple Lie algebras; Jordan algebras; polynomial identities; finite-dimensional Lie algebras; central extensions; infinite-dimensional Lie algebras; Lie algebra representations; superalgebras; Hochschild cohomology; PI-algebras; finite-dimensional Hopf algebras; graded Lie algebras

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Morton address: 36249010734555257 · morton4x16-v1

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