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胡 越 博士:shuffle algebra realization of quantum affine (super)algebras

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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 胡 越 博士, Skolkovo Institute of Science and Technology
Inviter:
Title:
shuffle algebra realization of quantum affine (super)algebras
Time & Venue:
2019.12.17 14:30-15:20 N212
Abstract:
The aim of this talk is to introduce a realization of quantum affine (super)algebras using shuffle algebras, which are certain (anti)symmetric rational functions endowed with a product called shuffle product. One application of this realization is to give PBW type bases of quantum affine (super)algebras in new Drinfeld realizations. We will focus on the known examples, like type A, A(m|n) and D(2,1;x) cases, some progress on other types will also be mentioned.

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