Generic triangular solutions of the reflection equation: $U_{q}(\widehat{sl_2})$ case

preprint2020arXivOpen access

We consider intertwining relations of the triangular $q$ -Onsager algebra, and obtain generic triangular boundary $K$ -operators in terms of the Borel subalgebras of $U_{q}(sl_2)$ . These $K$ -operators solve the reflection equation.

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Generic triangular solutions of the reflection equation: $U_{q}(\widehat{sl_2})$ case

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Generic triangular solutions of the reflection equation: Uq(sl2^)U_{q}(\widehat{sl_2})Uq​(sl2​​) case

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Generic triangular solutions of the reflection equation: $U_{q}(\widehat{sl_2})$ case