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• W1997056436 abstract "Soibelman's 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 yields the first ever solution to the 3D analogue of the reflection equation proposed by Isaev and Kulish. It is shown that matrix elements of R and K are polynomials in q and that there are combinatorial and birational counterparts for R and K. The combinatorial ones arise either at q=0 or by tropicalization of the birational ones. A conjectural description for the type B and F_4 cases is also given." @default.
• W1997056436 created "2016-06-24" @default.
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• W1997056436 date "2012-10-31" @default.
• W1997056436 modified "2023-10-01" @default.
• W1997056436 title "Tetrahedron and 3D reflection equations from quantized algebra of functions" @default.
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• W1997056436 doi "https://doi.org/10.1088/1751-8113/45/46/465206" @default.
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