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3D integrability, quantized algebra of functions and PBW bases

Hold Date
2013-06-05 15:30〜2013-06-05 17:00
Seminar Room 7, Faculty of Mathematics building, Ito Campus
Object person
Atsuo KUNIBA (University of Tokyo)

I shall explain how Soibelman's theory of quantized algebra of functions A_q(g) led to a representation theoretical construction of a solution to the Zamolodchikov tetrahedron equation and the 3D analogue of the reflection equation proposed by Isaev and Kulish in 1997. If time allows, I present a theorem relating the intertwiners of representations of A_q(g) with the PBW bases of the positive part of the quantized enveloping algebra U_q(g).  (Joint work with Masato Okado and Yasuhiko Yamada.)