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math.QA2008★ 3 cited
Reflection equation algebras, coideal subalgebras, and their centres
Stefan Kolb, Jasper V. Stokman
Reflection equation algebras and related U_q(g)-comodule algebras appear in various constructions of quantum homogeneous spaces and can be obtained via transmutation or equivalentl…
math.RT2008★ 24 cited
Trigonometric Cherednik algebra at critical level and quantum many-body problems
E. Emsiz, E. M. Opdam, J. V. Stokman
For any module over the affine Weyl group we construct a representation of the associated trigonometric Cherednik algebra at critical level in terms of Dunkl type operators.…