2003/03/29 by Vyacheslav Futorny, Futorny, Vyacheslav, Serge Ovsienko +1
Computer Science · Mathematics · #13A02 #16W70 #17B37 #81R10 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.AC #math.QA #math.RA #msc:13A02 #msc:16W70 #msc:17B37 #msc:81R10
paper · pdf · doi:10.48550/arxiv.math/0303372
arxiv created 2003/03/29 · openalex publication_date 2003/03/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A famous result of Kostant states that the universal enveloping algebra of a semisimple complex Lie algebra is a free module over its center. We prove an analogue of this result for a class of filtered algebras and apply it to show the freeness over its center of the restricted Yangian and the universal enveloping algebra of the restricted current algebra associated with the general linear Lie algebra.