Representations of the Quantum Toroidal Algebra on highest weight modules of the Quantum Affine Algebra of type gl(N)

Details Representations of the Quantum Toroidal Algebra on highest weight modules of the Quantum Affine Algebra of type gl(N) Representations of the Quantum Toroidal Algebra on highest weight modules of the Quantum Affine Algebra of type gl(N)

1998-06-24

arxiv.org/abs/math/9806134v1

Mathematics

Quantum Algebra

LaTeX 2e, 35 pages

Scientific paper

A representation of the Quantum Toroidal Algebra of type sl(N) is constructed on every irreducible integrable highest weight module of the Quantum Affine Algebra of type gl(N). As an intermediate step in the construction, we obtain a quantum analogue of the classical level-rank duality, describing the reciprocal decomposition of the q-Fock space with respect to mutually commutative actions of U_q(gl(N)^) of level L, and U_q(sl(L)^) of level N.

Affiliated with

Also associated with

No associations

Rating

Representations of the Quantum Toroidal Algebra on highest weight modules of the Quantum Affine Algebra of type gl(N) 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 Representations of the Quantum Toroidal Algebra on highest weight modules of the Quantum Affine Algebra of type gl(N), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representations of the Quantum Toroidal Algebra on highest weight modules of the Quantum Affine Algebra of type gl(N) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-656188