English

Guay's affine Yangians and non-rectangular $W$-algebras

Quantum Algebra 2023-12-29 v2

Abstract

We construct a non-trivial homomorphism from the Guay's affine Yangian to the universal enveloping algebra of non-rectangular WW-algebras of type AA. In order to construct the homomorphism, we extend the Guay's affine Yangian and its coproduct.

Keywords

Cite

@article{arxiv.2301.00035,
  title  = {Guay's affine Yangians and non-rectangular $W$-algebras},
  author = {Mamoru Ueda},
  journal= {arXiv preprint arXiv:2301.00035},
  year   = {2023}
}

Comments

minor revision in Introduction. arXiv admin note: text overlap with arXiv:2211.14968

R2 v1 2026-06-28T07:57:46.265Z