Eugene Karolinskiy

Visiting Associate Professor

M .S., Kharkov National University, 1994
Ph.D., Institute for Low Temperature Physics and Engineering, 1998

Research Interests

Poisson Geometry, Lie Algebras, Quantum Groups, Representation Theory

Selected Publications

• E. Karolinsky, The symplectic leaves on Poisson homogeneous spaces of Poisson-Lie groups, Mathematical Physics, Analysis, and Geometry, 2 (1995), 306-311 (in Russian).
• E. Karolinsky, A classification of Poisson homogeneous spaces of compact Poisson-Lie groups, Doklady RAN, 359 (1998), 13-15 (in Russian); English translation: Doklady Mathematics, 57 (1998), 179-181.
• E. Karolinsky, A classification of Poisson homogeneous spaces of complex reductive Poisson-Lie groups, Banach Center Publications, 51 (2000), 103-108; e-print math. QA/9901073.
• E. Karolinsky, A. Stolin, Classical dynamical r-matrices, Poisson homogeneous spaces, and Lagrangian subalgebras, Letters in Mathematical Physics, 60 (2002), 257-274; e-print: math.QA/0110319.
• E. Karolinsky, K. Muzykin, On quasi-Poisson homogeneous spaces of quasi-Poisson Lie groups, Journal of Lie Theory, 14 (2004), 543-554; e-print math.QA/0303298.
• E. Karolinsky, K. Muzykin, A. Stolin, Classical dynamical Yang-Baxter equations and quasi-Poisson homogeneous spaces, Proceedings of Institute of Mathematics of NAS of Ukraine, 50 (2004), 1101-1107.
• E. Karolinsky, K. Muzykin, A. Stolin, V. Tarasov, Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization, Letters in Mathematical Physics, 71 (2005), 179-197; e-print math.QA/0309203.
• E. Karolinsky, A. Stolin, V. Tarasov, From dynamical to non-dynamical twists, Letters in Mathematical Physics, 71 (2005), 173-178.
• E. Karolinsky, S. Lyapina, Lagrangian subalgebras in, where is a real simple Lie algebra of real rank one, to appear in Travaux Mathématiques.

Please direct questions and comments to: karolinskiy.1@nd.edu