Sergey Mikhailovich Khoroshkin

Publications³⁰

• Article Kharchev S., Khoroshkin S. Wave Function for GL(n,ℝ) Hyperbolic Sutherland Model II. Dual Hamiltonians // International Mathematics Research Notes. 2022. No. rnac317. P. 1-27. doi
• Article Kharchev S., Khoroshkin S. Wave Function for ℝ Hyperbolic Sutherland Model // International Mathematics Research Notices. 2022. P. 1-23. doi
• Article Khoroshkin S. M., Matushko M. Matrix elements of vertex operators and fermionic limit of spin Calogero-Sutherland system // Journal of Physics A: Mathematical and Theoretical. 2020. Vol. 53. No. 38. P. 385203. doi
• Article Kharchev S. M., Khoroshkin S. M. Mellin-Barnes presentations for Whittaker wave functions // Advances in Mathematics. 2020. Vol. 375. No. 107368. P. 1-56. doi
• Article S.M. Khoroshkin, M. G. Matushko. Fermionic limit of the Calogero-Sutherland system // Journal of Mathematical Physics. 2019. Vol. 60. No. 7. P. 071706-1-071706-22. doi
• Preprint S. M. Khoroshkin, M. G. Matushko. Matrix elements of vertex operators and fermionic limit of spin Calogero-Sutherland system / Cornell University. Series math "arxiv.org". 2019. No. 1910.08966.
• Article Khoroshkin S. M., Nazarov M. Cherednik algebras and Zhelobenko operators // Transformation Groups. 2018. Vol. 23. No. 1. P. 119-147. doi
• Article Khoroshkin S. M., Огиевецкий О. В. Contravariant form for reduction algebras // Journal of Geometry and Physics. 2018. Vol. 129. P. 99-116. doi
• Chapter Khoroshkin S. M., Nazarov M. On the functor of Arakawa, Suzuki and Tsuchiya, in: Advanced Studies in Pure Mathematics (т.76 Representations Theory, Special Functions and Painleve Equations - RIMS 2015) Vol. 76. Tokyo : Mathematical Society of Japan, 2018. doi Ch. 8. P. 275-302. doi
• Article Khoroshkin S. M., Огиевецкий О. В. Diagonal reduction algebra and the reflection equation // Israel Journal of Mathematics. 2017. Vol. 221. P. 705-729. doi
• Article Khoroshkin S. M., Matushko M., Sklyanin E. On spin Calogero–Moser system at infinity // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. P. 1-26. doi
• Article Khoroshkin S. M., Nazarov M., Shapiro A. Rational and polynomial representations of Yangians // Journal of Algebra. 2014. Vol. 418. P. 265-291. doi
• Article Khoroshkin S. M., Tsuboi Z. The universal R-matrix and factorization of the L-operators related to the Baxter Q-operators // Journal of Physics A: Mathematical and Theoretical. 2014. Vol. 47. P. 1-11.
• Article Khoroshkin S. M., Ogievetsky O. Rings of Fractions of Reduction Algebras // Algebras and Representation Theory. 2013. P. 1-10. doi (in press)
• Article Nazarov M., Khoroshkin S. M. Mickelsson algebras and representations of yangians // Transactions of the American Mathematical Society. 2012. Vol. 364. No. 3. P. 1293-1367.
• Article Khoroshkin S. M., Nazarov M., Vinberg E. A generalized Harish-Chandra isomorphism // Advances in Mathematics. 2011. Vol. 226. No. 2. P. 1168-1180. doi
• Article Khoroshkin S. M., Nazarov M., Papi P. Irreducible representations of Yangians // Journal of Algebra. 2011. Vol. 346. P. 189-226. doi
• Article Ogievetsky O., Khoroshkin S. M. Structure constants of diagonal reduction algebras of gl type // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2011. Vol. 7. No. 64. P. 1-34. doi
• Preprint Khoroshkin S. M., Огиевецкий О. В. Zero divisors in reduction algebras / Cornell University. Series math "arxiv.org". 2011. No. 1109.6894.
• Article Khoroshkin S. M., Shapiro A. The weight function for the quantum affine algebra Uq(A_2^(2)) // Journal of Geometry and Physics. 2010. Vol. 60. No. 11. P. 1833-1851. doi
• Article Khoroshkin S. M., Пакуляк С. З., Ragoucy E., Frappat L. Bethe ansatz for the universal weight function // Annales Henri Poincare. A Journal of Theoretical and Mathematical Physics. 2009. Vol. 10. No. 3. P. 513-548.
• Article Khoroshkin S. M., Nazarov M. Erratum to: Twisted Yangians and Mickelsson algebras. I // Selecta Mathematica, New Series. 2009. Vol. 14. No. 2. P. 321.
• Article Назаров М. Л., Хорошкин С. М. Скрученные янгианы и алгебры Микельссона II. // Алгебра и анализ. 2009. Т. 21. № 1. С. 153-228.
• Article Khoroshkin S. M., Пакуляк С. З. A computation of universal weight function for quantum affine algebra Uq(gl_N) // Kyoto Journal of Mathematics. 2008. Vol. 48. No. 2. P. 277-321.
• Article Khoroshkin S. M., Пакуляк С. З. Generating series for nested Bethe vectors // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2008. Vol. 4. No. 081. P. 23.
• Article Khoroshkin S. M., Ogievetsky O. Mickelsson algebras and Zhelobenko operators // Journal of Algebra. 2008. Vol. 319. No. 5. P. 2113-2165.
• Article Khoroshkin S. M., Толстой В. Н., Столин А. А., Самсонов М. Е., Pop I. I. On some Lie bialgebra structures on plynomial algebras and their quantization // Communications in Mathematical Physics. 2008. Vol. 282. No. 3. P. 625-662.
• Article Khoroshkin S. M., Пакуляк С. З. Method of projections of Drinfeld currents // American Mathematical Society Translations: Series 2. 2007. Vol. 221. P. 157-172.
• Article Khoroshkin S. M., Nazarov M. Twisted Yangians and Mickelsson algebras. I // Selecta Mathematica, New Series. 2007. Vol. 13. No. 1. P. 69-136.
• Article Толстой В. Н., Khoroshkin S. M. Universal R-matrix for quantized (super)algebras // Communications in Mathematical Physics. 1991. Vol. 141. No. 3. P. 599-617.