Hom-algebras and homology

Donald Yau

Hom-algebras and homology

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 0712.3515 v3 pith:6N4T5DFR submitted 2007-12-20 math.RA math.QA

Donald Yau This is my paper · ORCID

classification math.RAmath.QA

keywords algebrasalgebraalongassociativeconstructeddeformationsendomorphismshom-associative

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

abstract

Classes of $G$-Hom-associative algebras are constructed as deformations of $G$-associative algebras along algebra endomorphisms. As special cases, we obtain Hom-associative and Hom-Lie algebras as deformations of associative and Lie algebras, respectively, along algebra endomorphisms. Chevalley-Eilenberg type homology for Hom-Lie algebras are also constructed.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Structures and bimodules of simple Hom-alternative algebras
math.RA 2019-08 conditional novelty 4.0 of 10

Finite-dimensional simple Hom-alternative algebras are exactly twists of semi-simple alternative algebras by automorphisms, and their bimodules with invertible module twist are equivalent to bimodules of the untwisted...

Pith tools