Universal central extensions of Chevalley algebras over Laurent polynomial rings and GIM Lie algebras

DOI10.3792/pjaa.61.179zbMath0581.17010OpenAlexW2079931806MaRDI QIDQ1068180

Jun Morita, Yoji Yoshii

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.179

zbMATH Keywords

Laurent polynomial ringChevalley algebrauniversal central extensionGIM Lie algebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (9)

Groups defined by extended affine Lie algebras with nullity 2 ⋮ On certain generalizations of twisted affine Lie algebras and quasimodules for \(\Gamma\) -vertex algebras ⋮ Universal central extensions of elliptic affine Lie algebras ⋮ Generalized Heisenberg Algebras and Toroidal Lie Algebras ⋮ Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy ⋮ A new construction of vertex algebras and quasi-modules for vertex algebras. ⋮ AUTOMORPHISMS OF TOROIDAL LIE ALGEBRAS AND THEIR CENTRAL QUOTIENTS ⋮ Irreducible representations for toroidal Lie-algebras ⋮ A presentation of toroidal algebras a homomorphic images of G.I.M. algebras

Cites Work

• Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra
• The arithmetic theory of loop groups
• Introduction to Lie Algebras and Representation Theory
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