Dual pairs of quantum moment maps and doubles of Hopf algebras

[摘要] 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. (C) 2017 Elsevier Inc. All rights reserved.

[发布日期] 2017-12-15

[关键词] Hopf algebras;Drinfeld double;Heisenberg double;Quantum moment maps;Grothendieck-Springer resolution;Quantum groups;Reflection equation algerbas