Poisson-Gerstenhaber brackets in representation algebras
Vladimir Turaev
TL;DR
This paper introduces cyclic bilinear forms on coalgebras to generalize Van den Bergh's Poisson brackets within representation algebras, expanding the mathematical framework for algebraic structures.
Contribution
It presents a novel approach to extend Poisson brackets using cyclic bilinear forms on coalgebras, broadening the scope of algebraic representation theory.
Findings
Generalization of Van den Bergh's Poisson brackets
Introduction of cyclic bilinear forms on coalgebras
Enhanced mathematical framework for representation algebras
Abstract
We introduce cyclic bilinear forms on coalgebras and use them to generalize Van den Bergh's Poisson brackets in representation algebras.
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