104 citations · 320 across the 42 of their papers we have counts for
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Construction of raising and lowering operators for Uq(sl(2,R))
Pavel Stovicek
In the case of Uq(sl(2,R)) at root of unity q-deformed analogues are proposed for the generator of the maximal compact subalgebra, J, and for the raising and lowering operators. We…
Some remarks on Uq(sl(2,R)) at root of unity
P. Stovicek
We discuss a modification of Uq(sl(2,R)) and a class of its irreducible representations when q is a root of unity.
Discrete series of representations for Uq(sl(2,R))
Pavel Stovicek
A possible generalization of the method of orbits to SLq(2,R) is discussed.
A construction of representations and quantum homogeneous spaces
P. Stovicek
A simplified construction of representations is presented for the quantized enveloping algebra Uq(g), with g being a simple complex Lie algebra belonging to one of the four princip…
A construction of representations for quantum groups: an example of Uq(so(5))
P. Stovicek
A short description is given of a construction of representations for quantum groups. The method uses infinitesimal dressing transformation on quantum homogeneous spaces and is ill…