pith. sign in

arxiv: hep-th/9409025 · v2 · submitted 1994-09-05 · ✦ hep-th

Yangians and Classical Lie Algebras

A. Molev , M. Nazarov , G. Olshanskii This is my paper
classification ✦ hep-th
keywords algebrasalgebratwistedyangiansclassicalenvelopingfunctionspolynomial
0
0 comments X
read the original abstract

We study in detail the structure of the Yangian Y(gl(N)) and of some new Yangian-type algebras called twisted Yangians. The algebra Y(gl(N)) is a `quantum' deformation of the universal enveloping algebra U(gl(N)[x]), where gl(N)[x] is the Lie algebra of gl(N)-valued polynomial functions. The twisted Yangians are quantized enveloping algebras of certain twisted Lie algebras of polynomial functions which are naturally associated to the B, C, and D series of the classical Lie algebras.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The quantum group structure of long-range integrable deformations

    math-ph 2026-04 unverdicted novelty 7.0

    Long-range deformations of arbitrary homogeneous Yang-Baxter integrable spin chains are realized as twists of the quantum group, with the Drinfeld associator encoding the long-range interaction terms up to first order...