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- W3114890852 abstract "We define determinants in Quantum Matrix Algebras, related to couples of compatible braidings following the scheme from [G]. We establish relations between these determinants and the so-called column-(row-)determinants, often used in the theory of integrable systems. Also, we generalize the integrable spin systems from [CFRS] by using generalized Yangians, related to couples of compatible braidings. We demonstrate that such integrable spin systems are not uniquely determined by the quantum coordinate ring of the basic space V. For instance, the quantum plane xy=qyx gives rise to two different integrable systems: rational and trigonometric ones." @default.
- W3114890852 created "2021-01-05" @default.
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- W3114890852 date "2019-06-17" @default.
- W3114890852 modified "2023-09-27" @default.
- W3114890852 title "Determinants in Quantum Matrix Algebras and Integrable Systems" @default.
- W3114890852 hasPublicationYear "2019" @default.
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