theory of Hilbert schemes via shuffle algebra, Kyoto J B Feigin, A Tsymbaliuk
Math 51 (4), 831-854, 2011
154 * 2011 The affine Yangian of gl1 revisited A Tsymbaliuk
Advances in Mathematics 304, 583-645, 2017
139 2017 Multiplicative slices, relativistic Toda and shifted quantum affine algebras M Finkelberg, A Tsymbaliuk
Representations and Nilpotent Orbits of Lie Algebraic Systems: In Honour of …, 2019
71 2019 Shuffle algebra realizations of type A super Yangians and quantum affine superalgebras for all Cartan data A Tsymbaliuk
Letters in Mathematical Physics, 2020
33 2020 Bethe subalgebras of via shuffle algebras B Feigin, A Tsymbaliuk
Selecta Mathematica 22, 979-1011, 2016
31 2016 Shifted Quantum Affine Algebras: Integral Forms in Type A M Finkelberg, A Tsymbaliuk
Arnold Mathematical Journal 5 (2), 197-283, 2019
30 2019 Surface defects in gauge theory and KZ equation N Nekrasov, A Tsymbaliuk
Letters in Mathematical Physics 112 (2), 28, 2022
29 2022 PBWD bases and shuffle algebra realizations for $$ U_ {\varvec {v}}(L\mathfrak {sl} _n), U_ {{\varvec {v}} _1,{\varvec {v}} _2}(L\mathfrak {sl} _n), U_ {\varvec {v}}(L\mathfrak … A Tsymbaliuk
Selecta Mathematica 27 (3), 2021
29 * 2021 Homomorphisms between different quantum toroidal and affine Yangian algebras M Bershtein, A Tsymbaliuk
Journal of Pure and Applied Algebra 223 (2), 867-899, 2018
26 * 2018 Quantum affine Gelfand–Tsetlin bases and quantum toroidal algebra via K-theory of affine Laumon spaces A Tsymbaliuk
Selecta Mathematica 16 (2), 173-200, 2010
25 2010 Several realizations of Fock modules for toroidal A Tsymbaliuk
Algebras and Representation Theory 22, 177-209, 2019
22 * 2019 Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type R Frassek, V Pestun, A Tsymbaliuk
Advances in Mathematics 401, 108283, 2022
21 2022 Rational Lax matrices from antidominantly shifted extended Yangians: BCD types R Frassek, A Tsymbaliuk
Communications in Mathematical Physics 392 (2), 545-619, 2022
13 2022 Quantum loop groups and shuffle algebras via Lyndon words A Neguţ, A Tsymbaliuk
Advances in Mathematics 439, 109482, 2024
12 2024 Representations of infinitesimal Cherednik algebras F Ding, A Tsymbaliuk
Representation Theory of the American Mathematical Society 17 (19), 557-583, 2013
11 2013 Infinitesimal Cherednik algebras as W-algebras I Losev, A Tsymbaliuk
Transformation Groups 19 (2), 495-526, 2014
9 2014 Infinitesimal Hecke algebras of soN A Tsymbaliuk
Journal of Pure and Applied Algebra 219 (6), 2046-2061, 2015
8 2015 Classical limits of quantum toroidal and affine Yangian algebras A Tsymbaliuk
Journal of Pure and Applied Algebra 221 (10), 2633-2646, 2017
7 2017 Shuffle approach towards quantum affine and toroidal algebras A Tsymbaliuk
https://www.math.purdue.edu/~otsymbal/Papers/JapanLectureNotes.pdf, 2022
6 2022 Transfer matrices of rational spin chains via novel BGG-type resolutions R Frassek, I Karpov, A Tsymbaliuk
arXiv preprint arXiv:2112.12065, 2021
6 2021