Anick complex, Hochschild cohomology, Hilbert and Poincare series of the Manturov (3,4)-group

DOI10.1142/S0219498821501346zbMath1493.16007OpenAlexW3044354862MaRDI QIDQ5157740

Hassan AlHussein

Publication date: 20 October 2021

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

Full work available at URL: https://doi.org/10.1142/s0219498821501346

zbMATH Keywords

Hochschild cohomologyAnick resolutionGröbner-Shirshov basisMorse matching

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (K)-theory and homology; cyclic homology and cohomology (19D55) Homological dimension (category-theoretic aspects) (18G20) Homological dimension in associative algebras (16E10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The diamond lemma for ring theory
• Morse theory for cell complexes
• A user's guide to discrete Morse theory
• The Anick complex and the Hochschild cohomology of the Manturov \((2,3)\)-group
• Cohomology rings of the plactic monoid algebra via a Gröbner–Shirshov basis
• Minimal resolutions via algebraic discrete Morse theory
• On the Homology of Associative Algebras
• Gnk-groups for simplicial complexes and the word problem on G2(K)
• Parity in knot theory
• Gröbner–Shirshov bases and their calculation
• The groups Gnk and fundamental groups of configuration spaces
• The groups $ G_n^2$ and Coxeter groups
• Morse theory from an algebraic viewpoint

This page was built for publication: Anick complex, Hochschild cohomology, Hilbert and Poincare series of the Manturov (3,4)-group