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A Drinfeld-type presentation of the orthosymplectic Yangians

Quantum Algebra 2024-03-05 v2 Mathematical Physics math.MP Representation Theory

Abstract

We use the Gauss decomposition of the generator matrix in the RR-matrix presentation of the Yangian for the orthosymplectic Lie superalgebra ospN2m{\frak osp}_{N|2m} to produce its Drinfeld-type presentation. The results rely on a super-version of the embedding theorem which allows one to identify a subalgebra in the RR-matrix presentation which is isomorphic to the Yangian associated with ospN2m2{\frak osp}_{N|2m-2}.

Keywords

Cite

@article{arxiv.2112.10419,
  title  = {A Drinfeld-type presentation of the orthosymplectic Yangians},
  author = {A. I. Molev},
  journal= {arXiv preprint arXiv:2112.10419},
  year   = {2024}
}

Comments

30 pages, minor changes