3D integrability, quantized algebra of functions and PBW bases
可積分系セミナー
開催期間
2013.6.5(水)
15:30 ~ 17:00
15:30 ~ 17:00
場所
九州大学 伊都キャンパス 数理学研究教育棟3階 中セミナー室7
講演者
國場 敦夫 (東京大学大学院総合文化研究科)
概要
要 旨:
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.)