On Graded Bialgebra Deformations
Yu Du, Xiao-Wu Chen, and Yu Ye
TL;DR
This paper introduces graded bialgebra deformations, linking them to liftings methods and cohomology groups, providing a new framework for understanding algebraic structures.
Contribution
It presents the concept of graded bialgebra deformations and relates them to existing cohomology theories, extending the Gerstenhaber-Schack framework.
Findings
Defines graded bialgebra deformations
Connects deformations with liftings method
Relates deformations to graded cohomology groups
Abstract
We introduce the graded bialgebra deformations, which explain Andruskiewitsch-Schneider's liftings method. We also relate this graded bialgebra deformation with the corresponding graded bialgebra cohomology groups, which is the graded version of the one due to Gerstenhaber-Schack.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons