Coproduct for affine Yangians and parabolic induction for rectangular W-algebras
Letters in Mathematical Physics, ISSN: 1573-0530, Vol: 112, Issue: 1
2022
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Article Description
We construct algebra homomorphisms from affine Yangians to the current algebras of rectangular W-algebras both in type A. The construction is given via the coproduct and the evaluation map for the affine Yangians. As a consequence, we show that parabolic inductions for representations of the rectangular W-algebras can be regarded as tensor product representations of the affine Yangians under the homomorphisms. The same method is applicable also to the super-setting.
Bibliographic Details
Springer Science and Business Media LLC
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