Classical Limits, Quantum Duality and Lie-Poisson Structures

Details Classical Limits, Quantum Duality and Lie-Poisson Structures Classical Limits, Quantum Duality and Lie-Poisson Structures

1995-06-27

arxiv.org/abs/q-alg/9506025v2

Mathematics

Quantum Algebra

15 pages

Scientific paper

Quantum duality principle is applied to study classical limits of quantum algebras and groups. For a certain type of Hopf algebras the explicit procedure to construct both classical limits is presented. The canonical forms of quantized Lie-bialgebras are proved to be two-parametric varieties with two classical limits called dual. When considered from the point of view of quantized symmetries such varieties can have boundaries that are noncommutative and noncocommutative. In this case the quantum duality and dual limits still exist while instead of Lie bialgebra one has a pair of tangent vector fields. The properties of these constructions called quantizations of Hopf pairs are studied and illustrated on examples.

Affiliated with

Also associated with

No associations

Rating

Classical Limits, Quantum Duality and Lie-Poisson Structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Classical Limits, Quantum Duality and Lie-Poisson Structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical Limits, Quantum Duality and Lie-Poisson Structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-384153