【摘 要】
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Soibelmans theory of quantized function algebra A_q(SL_n) provides a representation theoretical scheme to construct a solution of the Zamolodchikov tetrahed
【机 构】
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UniversityofTokyo,Japan
【出 处】
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The XXIX International Colloquium on Group-Theoretical Metho
论文部分内容阅读
Soibelmans theory of quantized function algebra A_q(SL_n) provides a representation theoretical scheme to construct a solution of the Zamolodchikov tetrahedron equation.We extend this idea originally due to Kapranov and Voevodsky to A_q(Sp_{2n}) and obtain the intertwiner K corresponding to the quartic Coxeter relation.Together with the previously known 3-dimensional (3D) R matrix,the K satisfies a 3D analogue of the reflection equation which turns out to be a matrix version of the one proposed by Isaev and Kulish.It is shown that the both R and K form a triad with their combinatorial and birational counterparts.The combinatorial ones arise either at q=0 or by tropicalization of the birational ones.If the time permits,I will also present a conjectural description for the type B and F_4 cases.
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