Twisted cocycles of Lie algebras and corresponding invariant functions

DOI10.1016/j.laa.2008.11.003zbMath1215.17013arXiv0905.2599OpenAlexW2055497691WikidataQ115344875 ScholiaQ115344875MaRDI QIDQ999816

Jiří Hrivnák, Petr Novotný

Publication date: 10 February 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2599

zbMATH Keywords

contractionLie algebrainvariantnilpotent

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Homological methods in Lie (super)algebras (17B55)

Related Items (6)

Contraction Admissible Pairs of Complex Six-Dimensional Nilpotent Lie Algebras ⋮ On contractions of Lie algebras ⋮ Invariant functions and contractions of certain types of Lie algebras of lower dimensions ⋮ Graded contractions of the Gell-Mann graded $sl(3,\mathbb {C})$sl(3,C) ⋮ Introducing a new two-parameter invariant function for algebras ⋮ ON (α, β, γ)-DERIVATIONS OF LIE SUPERALGEBRAS

Uses Software

• CANONIK

Cites Work

• A comment concerning cohomology and invariants of Lie algebras with respect to contractions and deformations
• Graded contractions of the Pauli graded \(\text{sl}(3,\mathbb C)\)
• On the identification of a Lie algebra given by its structure constants. I: Direct decompositions, Levi decompositions, and nilradicals
• Classification of orbit closures of 4-dimensional complex Lie algebras
• An algorithm to determine the isomorphism classes of 4-dimensional complex Lie algebras
• On \((\alpha,\beta,\gamma)\)-derivations of Lie algebras and corresponding invariant functions
• Discrete and continuous graded contractions of Lie algebras and superalgebras
• Contractions of low-dimensional Lie algebras
• The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type A n−1
• Discrete and continuous graded contractions of representations of Lie algebras
• A general setting for Casimir invariants
• Realizations of real low-dimensional Lie algebras
• DEGENERATIONS OF 7-DIMENSIONAL NILPOTENT LIE ALGEBRAS
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