Moment maps at the quantum level

DOI10.1007/BF02099767zbMath0801.17019MaRDI QIDQ1311684

Jiang-Hua Lu

Publication date: 5 December 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

symplectic geometryquantum groupsPoisson manifoldsmoment maps

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (16)

A Serre-Swan theorem for coisotropic algebras ⋮ Commutativity of quantization and reduction for quiver representations ⋮ Wonderful asymptotics of matrix coefficient \(D\)-modules ⋮ A categorical approach to quantum moment maps ⋮ A new integral formula for Heckman-Opdam hypergeometric functions ⋮ POISSON GEOMETRY OF PARABOLIC BUNDLES ON ELLIPTIC CURVES ⋮ Quantized multiplicative quiver varieties. ⋮ Cyclic-homology Chern-Weil theory for families of principal coactions ⋮ Coherent states for quantum compact groups ⋮ On the classical and quantum Geroch group ⋮ Characteristic classes of star products on Marsden-Weinstein reduced symplectic manifolds ⋮ Involutions and representations for reduced quantum algebras ⋮ Double affine Hecke algebras at roots of unity ⋮ Yangian symmetry in integrable quantum gravity ⋮ Integrability and canonical structure of \(d=2\), \(N=16\) supergravity. ⋮ Coisotropic triples, reduction and classical limit

Cites Work

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• Coisotropic calculus and Poisson groupoids
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Reduction of symplectic manifolds with symmetry
• QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
• Crossed Products and Inner Actions of Hopf Algebras
• Dressing transformations and Poisson group actions

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