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- Chalmers University of TechnologySE54 papers
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6 papers · 1 filter
On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization
S. M. Khoroshkin, I. I. Pop, M. E. Samsonov +2
We study classical twists of Lie bialgebra structures on the polynomial current algebra , where is a simple complex finite-dimensional Lie algebra.…
The 4(th) structure
A. Stolin, J. Yermolova-Magnusson
In this paper we describe all Lie bialgebra structures on the polynomial Lie algebra , where is a simple, finite dimensional, complex Lie algebra. The r…
Irreducible highest-weight modules and equivariant quantization
E. Karolinsky, A. Stolin, V. Tarasov
We generalize the results of [KMST] concerning equivariant quantization by means of Verma modules for generic weight to the case of general . We consider the relation…
Galois theory for bialgebroids, depth two and normal Hopf subalgebras
Lars Kadison
We reduce certain proofs in math.RA/0108067, math.RA/0408155, and math.QA/0409589 to depth two quasibases from one side only, a minimalistic approach which leads to a characterizat…
An approach to quasi-Hopf algebras via Frobenius coordinates
Lars Kadison
We study quasi-Hopf algebras and their subobjects over certain commutative rings from the point of view of Frobenius algebras. We introduce a type of Radford formula involving an a…
Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization
Eugene Karolinsky, Kolya Muzykin, Alexander Stolin +1
This paper is a continuation of [KS]. We develop the results of [KS] principally in two directions. First, we generalize the main result of [KS], the connection between the solutio…