A proof of Hozo's conjecture on the homology of a class of nilpotent Lie algebras

DOI10.1006/jabr.1996.6900zbMath0880.17016OpenAlexW2065711870WikidataQ115396037 ScholiaQ115396037MaRDI QIDQ1355608

Philip J. Hanlon

Publication date: 11 February 1998

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

Full work available at URL: https://semanticscholar.org/paper/37a3ee45f72383e624ea01bb1b3caebb46c99fc6

zbMATH Keywords

posetKoszul complexLaplaciannilpotent Lie algebrasrooted treeHozo's conjecture

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Homological methods in Lie (super)algebras (17B55) Solvable, nilpotent (super)algebras (17B30)

Cites Work

• The representation theory of the symmetric groups
• The eigenvalues of the Laplacian for the homology of the Lie algebra corresponding to a poset
• A random walk on the rook placements on a Ferrers board
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Homologie et cohomologie des algèbres de Lie
• Unnamed Item
• Unnamed Item
• Unnamed Item