Yangians and transvector algebras

Details Yangians and transvector algebras Yangians and transvector algebras

1998-11-19

arxiv.org/abs/math/9811115v1

Discrete Math. 246 (2002), 231--253.

Mathematics

Quantum Algebra

Latex2e, 29 pages

Scientific paper

Olshanski's centralizer construction provides a realization of the Yangian for the Lie algebra gl(n) as a subalgebra in the projective limit of a chain of centralizers in the universal enveloping algebras. We give a modified version of this construction based on a quantum analog of Sylvester's theorem. We then use it to get an algebra homomorphism from the Yangian to the transvector algebra associated with the general linear Lie algebras. The results are applied to identify the elementary representations of the Yangian by constructing their highest vectors explicitly in terms of elements of the transvector algebra.

Affiliated with

Also associated with

No associations

Rating

Yangians and transvector algebras 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 Yangians and transvector algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Yangians and transvector algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-481727