Torsion table for the lie algebra niln

DOI10.1080/00927872.2019.1567751zbMath1446.17032arXiv1708.02783OpenAlexW2743600133MaRDI QIDQ4967382

Leon Lampret, Aleš Vavpetič

Publication date: 3 July 2019

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

Full work available at URL: https://arxiv.org/abs/1708.02783

zbMATH Keywords

nilpotent Lie algebrahomological algebratriangular matricesalgebraic combinatoricschain complexacyclic matchingalgebraic/discrete Morse theorytorsion table

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Syzygies, resolutions, complexes and commutative rings (13D02) Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30) Chain complexes (category-theoretic aspects), dg categories (18G35) Computational homological algebra (13P20) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• Lie algebra cohomology and the generalized Borel-Weil theorem
• Discrete Morse theory for free chain complexes
• (Co)homology of Lie algebras via algebraic Morse theory
• Homology of Integral Upper-Triangular Matrices
• Morse theory from an algebraic viewpoint

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