Bethe Subalgebras in Yangians and the Wonderful Compactification
نویسندگان
چکیده
منابع مشابه
Bethe Subalgebras in Twisted Yangians
We study analogues of the Yangian of the Lie algebra glN for the other classical Lie algebras soN and spN . We call them twisted Yangians. They are coideal subalgebras in the Yangian of glN and admit homomorphisms onto the universal enveloping algebras U(soN ) and U(spN ) respectively. In every twisted Yangian we construct a family of maximal commutative subalgebras parametrized by the regular ...
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The generating function for elements of the Bethe subalgebra of Hecke algebra is constructed as Sklyanin's transfer-matrix operator for Hecke chain. We show that in a special classical limit q → 1 the Hamiltonians of the Gaudin model can be derived from the transfer-matrix operator of Hecke chain. We consruct a non-local analogue of the Gaudin Hamiltonians for the case of Hecke algebras.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2019
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-019-03509-1