Hochschild (co)homology of exterior algebras using algebraic Morse theory

DOI10.1080/00927872.2016.1172630zbMath1381.16008arXiv1512.08283OpenAlexW3102455076MaRDI QIDQ2986064

Leon Lampret, Aleš Vavpetič

Publication date: 12 May 2017

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

Full work available at URL: https://arxiv.org/abs/1512.08283

zbMATH Keywords

exterior algebrahomological algebraalgebraic combinatoricschain complexacyclic matchingdiscrete/algebraic Morse theoryminimal free bimodule resolution

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Resolutions; derived functors (category-theoretic aspects) (18G10) Syzygies, resolutions, complexes in associative algebras (16E05) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (1)

The Batalin-Vilkovisky structure over the Hochschild cohomology ring of exterior algebras

Cites Work

• Unnamed Item
• (Co)homology of Lie algebras via algebraic Morse theory
• Morse theory from an algebraic viewpoint

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