Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits

Details Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits

1998-06-26

arxiv.org/abs/math/9806149v2

J.Phys. A32 (1999) 2369-2385

Mathematics

Quantum Algebra

21 pages, LaTeX. To appear in J. Phys. A. New contents added

Scientific paper

10.1088/0305-4470/32/12/010

Multiparametric quantum deformations of $gl(2)$ are studied through a complete classification of $gl(2)$ Lie bialgebra structures. From them, the non-relativistic limit leading to harmonic oscillator Lie bialgebras is implemented by means of a contraction procedure. New quantum deformations of $gl(2)$ together with their associated quantum $R$-matrices are obtained and other known quantizations are recovered and classified. Several connections with integrable models are outlined.

Affiliated with

Also associated with

No associations

Rating

Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits 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 Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-259788