Centre and Representations of U_q(sl(2|1)) at Roots of Unity

Details Centre and Representations of U_q(sl(2|1)) at Roots of Unity Centre and Representations of U_q(sl(2|1)) at Roots of Unity

1996-05-10

arxiv.org/abs/q-alg/9605015v3

J. Phys. A: Math. Gen. 30 (1997) 867-880.

Mathematics

Quantum Algebra

Minor corrections, References added. LaTeX2e, 18 pages, also available at http://lapphp0.in2p3.fr/preplapp/psth/ENSLAPP583.ps.

Scientific paper

10.1088/0305-4470/30/3/012

Quantum groups at roots of unity have the property that their centre is enlarged. Polynomial equations relate the standard deformed Casimir operators and the new central elements. These relations are important from a physical point of view since they correspond to relations among quantum expectation values of observables that have to be satisfied on all physical states. In this paper, we establish these relations in the case of the quantum Lie superalgebra U_q(sl(2|1)). In the course of the argument, we find and use a set of representations such that any relation satisfied on all the representations of the set is true in U_q(sl(2|1)). This set is a subset of the set of all the finite dimensional irreducible representations of U_q(sl(2|1)), that we classify and describe explicitly.

Affiliated with

Also associated with

No associations

Rating

Centre and Representations of U_q(sl(2|1)) at Roots of Unity 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 Centre and Representations of U_q(sl(2|1)) at Roots of Unity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Centre and Representations of U_q(sl(2|1)) at Roots of Unity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-521533