Hochschild and cyclic homology of Yang–Mills algebras

DOI10.1515/CRELLE.2011.107zbMath1305.17018arXiv0906.2576MaRDI QIDQ2883845

Estanislao Herscovich, Andrea L. Solotar

Publication date: 13 May 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2576

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Identities, free Lie (super)algebras (17B01) Homological methods in Lie (super)algebras (17B55)

Related Items

Representations of super Yang-Mills algebras ⋮ Three dimensional Sklyanin algebras and Gröbner bases ⋮ Hochschild homology and cohomology of down-up algebras ⋮ The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras ⋮ Derivations of a parametric family of subalgebras of the Weyl algebra.

Cites Work

• Representations of Yang-Mills algebras
• Cyclic homology of algebraic hypersurfaces
• Cohomology of Yang-Mills algebras.
• Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras.
• Cyclic homology, derivations, and the free loopspace
• Cyclic homology and the determinant of the Cartan matrix
• Cyclic homology, comodules, and mixed complexes
• Yang-Mills algebra
• Homogeneous algebras.
• Koszul and Gorenstein properties for homogeneous algebras.
• On the deformation of rings and algebras
• Koszulity for nonquadratic algebras.