квантовые группы.

Андрей Георгиевич Быцко

лаборатория математических проблем физики
Position: 
Senior Researcher
Scientific Degree: 
Candidate of Sciences
Email: 
bytsko [at] pdmi.ras.ru
Homepage: 
https://www.pdmi.ras.ru/~bytsko/mypubl.html
Scientific Interests: 
Квантовые интегрируемые системы
квантовые группы.

Образование: СПбГУ, физфак, 1993. Сотрудник ПОМИ с 1993 г. по настоящее время.

Публикации:

1. "(T*B)_q, q-analogue of model space and the Clebsch-Gordan coefficients generating matrices" (with L.D.Faddeev), J. Math. Phys. 37 (1996) 6324-6348.

2. "R-operator, co-product and Haar-measure for the modular double of U_q(sl(2,R))" (with J.Teschner), Commun. Math. Phys. 240 (2003) 171-196.

3. "Quantization of models with non-compact quantum group symmetry: modular XXZ magnet and lattice sinh-Gordon model" (with J.Teschner), J. Phys. A39 (2006) 12927-12981.

4. "Tetrahedron equation and cyclic quantum dilogarithm identities" (with A. Volkov), International Mathematics Research Notices, 2015 (2015) 1075-1100.

5. "On orthogonal projections related to representations of the Hecke algebra on a tensor space", Journal of Mathematical Physics 63 (2022) 081701.