Coproduct for affine Yangians and parabolic induction for rectangular W-algebras

نویسندگان

چکیده

We construct algebra homomorphisms from affine Yangians to the current algebras of rectangular W-algebras both in type A. The construction is given via coproduct and evaluation map for Yangians. As a consequence, we show that parabolic inductions representations can be regarded as tensor product under homomorphisms. same method applicable also super-setting.

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ژورنال

عنوان ژورنال: Letters in Mathematical Physics

سال: 2022

ISSN: ['0377-9017', '1573-0530']

DOI: https://doi.org/10.1007/s11005-021-01500-3