Formality theorem and bialgebra deformations
V. Hinich, D. Lemberg
TL;DR
This paper proves the formality of a graded Poisson algebra related to exterior and symmetric algebras and explores its implications for bialgebra deformations, advancing understanding in algebraic deformation theory.
Contribution
It establishes the formality of the exterior algebra with the big bracket and links this to bialgebra deformations of the symmetric algebra, providing new theoretical insights.
Findings
Proves the formality of the exterior algebra with the big bracket.
Connects formality results to bialgebra deformations of symmetric algebras.
Enhances understanding of algebraic deformation structures.
Abstract
In this paper we prove formality of the exterior algebra on V+V* endowed with the big bracket considered as a graded Poisson algebra. We also discuss connection of this result to bialgebra deformations of the symmetric algebra of V considered as bialgebra.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models