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- W4233651182 abstract "Let $R:M otimes M to M otimes M$ be a solution to the quantum Yang-Baxter equation, where M is a finite-dimensional vector space over a field k. We introduce a quotient ${A^{{text {red}}}}(R)$ of the bialgebra $A(R)$ constructed by Fadeev, Reshetihkin and Takhtajan, whose characteristics seem to more faithfully reflect properties R possesses as a linear operator. We characterize all R such that ${A^{{text {red}}}}(R)$ is a pointed bialgebra, and we determine all solutions R to the quantum Yang-Baxter equation when ${A^{{text {red}}}}(R)$ is pointed and $dim M = 2$ (with a few technical exceptions when k has characteristic 2). Extensions of such solutions to the quantum plane are studied." @default.
- W4233651182 created "2022-05-12" @default.
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- W4233651182 date "1994-05-01" @default.
- W4233651182 modified "2023-09-25" @default.
- W4233651182 title "Solutions to the Quantum Yang-Baxter Equation Arising from Pointed Bialgebras" @default.
- W4233651182 doi "https://doi.org/10.2307/2154541" @default.
- W4233651182 hasPublicationYear "1994" @default.
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