Lie Groups and Representation Theory

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Date, time & place Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.)

2021/05/18

17:00-17:30   Room #Online (Graduate School of Math. Sci. Bldg.)
Mamoru UEDA (Kyoto University)
Affine Yangians and rectangular W-algebras (Japanese)
[ Abstract ]
Motivated by the generalized AGT conjecture, in this talk I will construct surjective homomorphisms from Guay's affine Yangians to the universal enveloping algebras of rectangular W-algebras of type A.
This result is a super affine analogue of a result of Ragoucy and Sorba, which gave surjective homomorphisms from finite Yangians of type A to rectangular finite W-algebras of type A.