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math.QA2010★ 15 cited
Braided Differential Operators on Quantum Algebras
D. Gurevich, P. Pyatov, P. Saponov
We define the braided differential algebras which can be interpreted as quantization of the differential operator algebra defined on some algebraic varieties supplied with the acti…
math.QA2010★ 2 cited
Quantization of pencils with a gl-type Poisson center and braided geometry
D. I. Gurevich, P. A. Saponov
In the algebra Sym(gl(m)) we consider Poisson pencils generated by the linear Poisson-Lie bracket {,}_{gl(m)} and that corresponding to the so-called Reflection Equation Algebra. E…
math.QA2010★ 5 cited
Generic super-orbits in gl(m|n)* and their braided counterparts
D. I. Gurevich, P. A. Saponov
We introduce some braided varieties -- braided orbits -- by considering quotients of the so-called Reflection Equation Algebras associated with Hecke symmetries (i.e. special type…