{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","description":"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.","keywords":[{"id":"https://openalex.org/keywords/lie-algebras","display_name":"Lie algebras","score":0.3211},{"id":"https://openalex.org/keywords/hopf-algebras","display_name":"Hopf algebras","score":0.5117},{"id":"https://openalex.org/keywords/nonassociative-algebras","display_name":"nonassociative algebras","score":0.36},{"id":"https://openalex.org/keywords/universal-enveloping-algebra","display_name":"universal enveloping algebra","score":0.4281},{"id":"https://openalex.org/keywords/lie-superalgebras","display_name":"Lie superalgebras","score":0.4955},{"id":"https://openalex.org/keywords/nilpotent-lie-algebras","display_name":"nilpotent Lie algebras","score":0.6823},{"id":"https://openalex.org/keywords/classification-of-lie-algebras","display_name":"classification of Lie algebras","score":0.7184},{"id":"https://openalex.org/keywords/characteristic-zero","display_name":"characteristic zero","score":0.2542},{"id":"https://openalex.org/keywords/simple-lie-algebras","display_name":"simple Lie algebras","score":0.3399},{"id":"https://openalex.org/keywords/associative-algebras","display_name":"associative algebras","score":0.4285},{"id":"https://openalex.org/keywords/leibniz-algebras","display_name":"Leibniz algebras","score":0.9144},{"id":"https://openalex.org/keywords/solvable-lie-algebras","display_name":"solvable Lie algebras","score":0.6738},{"id":"https://openalex.org/keywords/lie-algebra-cohomology","display_name":"Lie algebra cohomology","score":0.4926},{"id":"https://openalex.org/keywords/semisimple-lie-algebras","display_name":"semisimple Lie algebras","score":0.2787},{"id":"https://openalex.org/keywords/jordan-algebras","display_name":"Jordan algebras","score":0.3609},{"id":"https://openalex.org/keywords/polynomial-identities","display_name":"polynomial identities","score":0.2018},{"id":"https://openalex.org/keywords/finite-dimensional-lie-algebras","display_name":"finite-dimensional Lie algebras","score":0.7308},{"id":"https://openalex.org/keywords/central-extensions","display_name":"central extensions","score":0.2466},{"id":"https://openalex.org/keywords/infinite-dimensional-lie-algebras","display_name":"infinite-dimensional Lie algebras","score":0.3309},{"id":"https://openalex.org/keywords/representations-of-lie-algebras","display_name":"Lie algebra representations","score":0.239},{"id":"https://openalex.org/keywords/superalgebras","display_name":"superalgebras","score":0.3454},{"id":"https://openalex.org/keywords/hochschild-cohomology","display_name":"Hochschild cohomology","score":0.3236},{"id":"https://openalex.org/keywords/pi-algebras","display_name":"PI-algebras","score":0.4753},{"id":"https://openalex.org/keywords/finite-dimensional-hopf-algebras","display_name":"finite-dimensional Hopf algebras","score":0.8282},{"id":"https://openalex.org/keywords/graded-lie-algebras","display_name":"graded Lie algebras","score":0.5401}],"legacy_keywords":"Hom-Lie Algebras; Deformations; Hopf Algebra; Renormalization; Derivations; Baxter Algebras; Quasi-Lie Algebras; Homology; Gradings; Cohomology","ids":{"openalex":"https://openalex.org/T11673","wikipedia":"https://en.wikipedia.org/wiki/Lie_algebra"},"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research"},{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities"},{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras"},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications"}],"works_count":44813,"cited_by_count":360722,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T11673","updated_date":"2026-10-19T03:01:26","created_date":"2024-01-23T15:27:11"}