Hom-algebras via PROPs

Abstract

Hom-algebras over a PROP are defined and studied. Several twisting constructions for Hom-algebras over a large class of PROPs are proved, generalizing many such results in the literature. Partial classification of Hom-algebras over a PROP is obtained.

References in corpus (9)

• Deformations of Lie Algebras using $\sigma$-derivations
• Hom-algebras and homology
• Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras
• On n-ary Hom-Nambu and Hom-Nambu-Lie algebras
• Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras
• On homotopy invariance for algebras over colored PROPs
• On Hom type algebras
• On n-ary Hom-Nambu and Hom-Maltsev algebras
• A Hom-associative analogue of n-ary Hom-Nambu algebras

Cited by in corpus (3)

• Hom-Lie 2-algebras
• On Koszulity for operads of Conformal Field Theory
• Deforming algebras with anti-involution via twisted associativity