Bethe subalgebras in twisted Yangians

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JournalComm. Math. Phys.
DatePublished - May 1996
Issue number2
Volume178
Number of pages24
Pages (from-to)483-506
Original languageEnglish

Abstract

We study analogues of the Yangian of the Lie algebra gl N for the other
classical Lie algebras ~o x and 6pN. We call them twisted Yangians. They are
coideal subalgebras in the Yangian of glN and admit homomorphisms onto the
universal enveloping algebras U(~0N) and U(~PN ) respectively. In every twisted
Yangian we construct a family of maximal commutative subalgebras parametrized
by the regular semisimple elements of the corresponding classical Lie algebra. The
images in U(~ox) and U(~PN ) of these subalgebras are also maximal commutative.

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