Some remarks on graded nilpotent Lie algebras and the Toral Rank Conjecture

DOI10.1142/S0219498815500243zbMath1384.17011arXiv1208.6588OpenAlexW2963532820WikidataQ115245661 ScholiaQ115245661MaRDI QIDQ5498582

Guillermo Ames, Leandro Cagliero, Mónica Cruz

Publication date: 9 February 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.6588

zbMATH Keywords

toral rank conjecturegradingscohomology of nilpotent Lie algebras

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30)

Cites Work

• Small covers and the Halperin-Carlsson conjecture
• Adjoint and trivial cohomologies of nilpotent complex Lie algebras of dimension \(\leq 7\)
• Constructing Lie algebra homology classes
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups

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