3 papers
gr-qc2002
Operadic curvature as a tool for gravity
E. Paal
The deformation equation and its integrability condition (Bianchi identity) of a non-associative deformation in operad algebra are found. Their relation to the theory of gravity is…
math.QA2001
On derivation deviations in an abstract pre-operad
L. Kluge, E. Paal
We consider basic algebraic constructions associated with an abstract pre-operad, such as a -algebra, total composition $\bul$, pre-coboundary operator $\de$ and tribraces…
math.QA1999
Invitation to composition
L. Kluge, E. Paal, J. Stasheff
In 1963 [Ann. of Math. {\bf 78}, 267-288], Gerstenhaber invented a \emph{comp(osition)} calculus in the Hochschild complex of an associative algebra. In this paper, the first steps…