On the simplicity of Lie algebras of derivations of commutative algebras

DOI10.1006/jabr.2000.8286zbMath0982.17009OpenAlexW2084518547WikidataQ115395772 ScholiaQ115395772MaRDI QIDQ1570363

David A. Jordan

Publication date: 19 January 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7b49760cbb9eba54deb8436c78544f481b39e171

zbMATH Keywords

characteristic 2simplicity of Lie algebras of derivations

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Simple, semisimple, reductive (super)algebras (17B20) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (23)

Simple Nil Lie Algops ⋮ Simple Lie color algebras of Weyl type ⋮ A Galois theory of commutative rings ⋮ Prime Lie rings of derivations of commutative rings in characteristic 2 ⋮ Primordials and primordial Lie algebras ⋮ Convex topological algebras via linear vector fields and Cuntz algebras ⋮ \(\mathcal{AV}\) modules of finite type on affine space ⋮ Simple superelliptic Lie algebras ⋮ Gauge modules for the Lie algebras of vector fields on affine varieties ⋮ Lie Algops and Simple Lie Algebras ⋮ Rings with simple Lie rings of Lie and Jordan derivations ⋮ Representations of the Lie algebra of vector fields on a sphere ⋮ Lie algebras of vector fields on smooth affine varieties ⋮ Semiprime Lie Rings of (Anti-)Symmetric Derivations of Commutative Rings ⋮ Lie rings of (anti-)symmetric derivations of commutative rings ⋮ Simple algebras of Weyl type, II ⋮ Isomorphism classes and automorphism groups of algebras of Weyl type ⋮ Depth generated simple Lie algebras ⋮ WEYL TYPE ALGEBRAS FROM QUANTUM TORI ⋮ Central Simple Nonassociative Algebras with Operators ⋮ Representations of Lie algebras of vector fields on affine varieties ⋮ Representations of Lie algebras ⋮ SECOND COHOMOLOGY GROUP OF GENERALIZED WITT TYPE LIE ALGEBRAS AND CERTAIN REPRESENTATIONS

Cites Work

• Unnamed Item
• Simple Lie algebras of Witt type
• On the Ideals of a Lie Algebra of Derivations
• Simple Lie Rings of Derivations of Commutative Rings

This page was built for publication: On the simplicity of Lie algebras of derivations of commutative algebras