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Showing 2007 · math.QAShow all
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math.QA2007★ 33 cited
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.…
math.QA2007★ 220 cited
The quantum dilogarithm and representations quantum cluster varieties
V. V. Fock, A. B. Goncharov
We construct, using the quantum dilogarithm, a series of *-representations of quantized cluster varieties. This includes a construction of infinite dimensional unitary projective r…