{ "id": "2109.02361", "version": "v1", "published": "2021-09-06T11:01:03.000Z", "updated": "2021-09-06T11:01:03.000Z", "title": "Representations of the Yangians associated with Lie superalgebras ${\\frak{osp}}(1|2n)$", "authors": [ "A. I. Molev" ], "comment": "10 pages, extension of arXiv:2108.10104 to arbitrary positive integers $n$", "categories": [ "math.RT", "math-ph", "math.MP", "math.QA" ], "abstract": "We classify the finite-dimensional irreducible representations of the Yangians associated with the orthosymplectic Lie superalgebras ${\\frak{osp}}_{1|2n}$ in terms of the Drinfeld polynomials. The arguments rely on the description of the representations in the particular case $n=1$ obtained in our previous work.", "revisions": [ { "version": "v1", "updated": "2021-09-06T11:01:03.000Z" } ], "analyses": { "keywords": [ "orthosymplectic lie superalgebras", "finite-dimensional irreducible representations", "drinfeld polynomials", "description" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }