Abstract
We define a 1-parameter family ofr-matrices on the loop algebra of sl2, defining compatible Poisson structures on the associated loop group, which degenerate into the rational and trigonometric structures, and study the Manin triples associated with them.
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To our friend Dimitri Gurevich, on his 50th birthday
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Enriquez, B., Rubtsov, V. Compatible poisson-Lie structures on the loop group of SL2 . Lett Math Phys 38, 429–436 (1996). https://doi.org/10.1007/BF01815525
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DOI: https://doi.org/10.1007/BF01815525