Invariant metrics on current Lie algebras

DOI10.1080/00927872.2023.2232854arXiv2208.14561MaRDI QIDQ6060335

García Rosendo

Publication date: 3 November 2023

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

Full work available at URL: https://arxiv.org/abs/2208.14561

zbMATH Keywords

invariant metriccentroidcurrent Lie algebrascommutative and associative algebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Quadratic and bilinear forms, inner products (15A63) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Cites Work

• Heisenberg Lie superalgebras and their invariant superorthogonal and supersymplectic forms
• A new invariant of quadratic Lie algebras
• Metric Lie algebras and quadratic extensions
• Lie algebras with quadratic dimension equal to 2
• QUADRATIC LIE ALGEBRAS AND COMMUTATIVE ASSOCIATIVE ALGEBRAS
• FAITHFUL REPRESENTATIONS OF MINIMAL DIMENSION OF CURRENT HEISENBERG LIE ALGEBRAS
• Algèbres de Lie et produit scalaire invariant
• The Lie algebra of derivations of a current Lie algebra
• Rigid Current Lie Algebras
• A note on orthogonal Lie algebras in dimension 4 viewed as current Lie algebras
• Introduction to Lie Algebras and Representation Theory

This page was built for publication: Invariant metrics on current Lie algebras