Dual pairs of quantum moment maps and doubles of Hopf algebras

作者：Schrader Gus; Shapiro Alexander^*

来源：Journal of Algebra, 2017, 492: 74-89.

DOI：10.1016/j.jalgebra.2017.08.021

• Hopf algebras
• Drinfeld double
• Heisenberg double
• Quantum moment maps
• Grothendieck-Springer resolution
• Quantum groups
• Reflection equation algerbas

Given a dual pair of topological Hopf algebras A, A*, under mild conditions there exists a natural associative algebra homomorphism D(A) -> (A) between the corresponding Drinfeld double D(A) and Heisenberg double H (A). We construct this homomorphism using a pair of commuting quantum moment maps, and then use it to provide a homomorphism of certain reflection equation algebras. We also explain how the quantization of the Grothendieck Springer resolution arises in this context.

• 出版日期2017-12-15