Mathematics – Representation Theory
Scientific paper
2010-09-23
Mathematics
Representation Theory
21 pages. Corrected misprints. Some arguments revised, results unchanged
Scientific paper
Given a Lax system of equations with the spectral parameter on a Riemann surface we construct a projective unitary representation of the Lie algebra of Hamiltonian vector fields by Knizhnik-Zamolodchikov operators. This provides a prequantization of the Lax system. The representation operators of Poisson commuting Hamiltonians of the Lax system projectively commute. If Hamiltonians depend only on action variables then the corresponding operators commute.
No associations
LandOfFree
Lax equations and Knizhnik-Zamolodchikov connection 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 Lax equations and Knizhnik-Zamolodchikov connection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lax equations and Knizhnik-Zamolodchikov connection will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-273447