Nonlinear realizations of Lie superalgebras

DOI10.1080/00927872.2022.2077955OpenAlexW4281926918MaRDI QIDQ5097423

Jakob Palmkvist

Publication date: 23 August 2022

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

Full work available at URL: https://arxiv.org/abs/2012.10954

zbMATH Keywords

Lie superalgebrasLeibniz algebras\(L_\infty\) algebrasdifferential graded Lie algebras

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) Leibniz algebras (17A32) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (1)

Corrigendum to: ``From Lie algebra crossed modules to tensor hierarchies

Cites Work

• Leibniz gauge theories and infinity structures
• \(L_\infty \) structures on mapping cones
• Introduction to sh Lie algebras for physicists
• The embedding tensor, Leibniz-Loday algebras, and their higher gauge theories
• Infinity-enhancing of Leibniz algebras
• Tensor hierarchies and Leibniz algebras
• \(L_{\infty}\) algebras for extended geometry from Borcherds superalgebras
• Non-commutative Batalin-Vilkovisky algebras, homotopy Lie algebras and the Courant bracket
• Duality hierarchies and differential graded Lie algebras
• A realization of the Lie algebra associated to a Kantor triple system
• Strongly homotopy lie algebras
• Three-algebras, triple systems and 3-graded Lie superalgebras
• On a vector field formula for the Lie algebra of a homogeneous space
• Conformal and quasiconformal realizations of exceptional Lie groups
• Unnamed Item

This page was built for publication: Nonlinear realizations of Lie superalgebras