Enriched pre-lie operads and freeness theorems

HIGHLIGHTS

SUMMARY

Pre-Lie algebras, also known as right-symmetric algebras, appear in a wide range of research areas from algebra and combinatorics to differential geometry and homotopy theory. Hochschild cohomology of an associative algebra has a structure of an algebra over the homology of the little disks operad, prompting the celebrated Deligne conjecture that chains of the operad of little disks act on the Hochschild complex. Keyword Operad, pre-Lie algebra, brace algebra, rooted tree, Poincarŕe-Birkhoff-Witt theorem. which is also called a brace algebra. Calaque and Willwacher established that the operad PreLie . . .

 



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