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Representations of the orthosymplectic Yangian

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 نشر من قبل Alexander Molev
 تاريخ النشر 2021
  مجال البحث فيزياء
والبحث باللغة English
 تأليف A. I. Molev




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We give a complete description of the finite-dimensional irreducible representations of the Yangian associated with the orthosymplectic Lie superalgebra $frak{osp}_{1|2}$. The representations are parameterized by monic polynomials in one variable, they are classified in terms of highest weights. We give explicit constructions of a family of elementary modules of the Yangian and show that a wide class of irreducible representations can be produced by taking tensor products of the elementary modules.



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