Double quasi-Poisson brackets on associative algebras with involutive anti-automorphisms induce quasi-Poisson structures on twisted representation spaces over arbitrary semisimple bases, with applications to twisted quiver varieties and Hopf algebras with Fox pairings.
Preprint;arXiv:2510.13007
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A minimalistic Drinfeld presentation is given for twisted Yangians ^i Y, with an injective homomorphism to the Yangian Y establishing it as a right coideal subalgebra and proving isomorphism to the J-presentation.
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Quasi-Poisson varieties from double quasi-Poisson algebras in types $B,C,D$
Double quasi-Poisson brackets on associative algebras with involutive anti-automorphisms induce quasi-Poisson structures on twisted representation spaces over arbitrary semisimple bases, with applications to twisted quiver varieties and Hopf algebras with Fox pairings.
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Minimalistic Presentation and Coideal Structure of Twisted Yangians
A minimalistic Drinfeld presentation is given for twisted Yangians ^i Y, with an injective homomorphism to the Yangian Y establishing it as a right coideal subalgebra and proving isomorphism to the J-presentation.