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Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure
Symmetry, integrability and geometry: methods and applications, Tome 9 (2013) Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $\mathfrak{g}$ be a compact simple Lie algebra. We modify the quantized enveloping $^*$-algebra associated to $\mathfrak{g}$ by a real-valued character on the positive part of the root lattice. We study the ensuing Verma module theory, and the associated quotients of these modified quantized enveloping $^*$-algebras. Restricting to the locally finite part by means of a natural adjoint action, we obtain in particular examples of quantum homogeneous spaces in the operator algebraic setting.
Keywords: compact quantum homogeneous spaces; quantized universal enveloping algebras; Hopf–Galois theory; Verma modules. 
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     author = {Kenny De Commer},
     title = {Representation {Theory} of {Quantized} {Enveloping} {Algebras} with {Interpolating} {Real} {Structure}},
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Kenny De Commer. Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure. Symmetry, integrability and geometry: methods and applications, Tome 9 (2013). http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a80/

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