Non-degenerate invariant (super) symmetric bilinear forms on simple Lie (super) algebras S Bouarroudj, A Krutov, D Leites, I Shchepochkina
Algebr. Represent. Theory, 21 (5), 897-941, 2018
25 2018 Positive line modules over the irreducible quantum flag manifolds F Díaz García, AO Krutov, R Ó Buachalla, P Somberg, KR Strung
Letters in Mathematical Physics 112 (6), 123, 2022
16 * 2022 Holomorphic Relative Hopf Modules over the Irreducible Quantum Flag Manifolds F Díaz García, A Krutov, R Ó Buachalla, P Somberg, KR Strung
Letters in Mathematical Physics 111 (1), 24, 2021
13 2021 Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2 A Krutov, A Lebedev, D Leites, I Shchepochkina
Linear Algebra and its Applications 649, 1-21, 2022
12 2022 On gradings modulo 2 of simple Lie algebras in characteristic 2 A Krutov, A Lebedev
SIGMA 14, 130, 27 pages, 2018
12 2018 N=2 supersymmetric a=4-Korteweg–de Vries hierarchy derived via Gardner’s deformation of Kaup–Boussinesq equation V Hussin, AV Kiselev, AO Krutov, T Wolf
Journal of Mathematical Physics 51 (8), 083507, 2010
12 2010 Restricted Lie (Super) Algebras in Characteristic 3 S Bouarroudj, AO Krutov, AV Lebedev, DA Leites, IM Shchepochkina
Functional Analysis and Its Applications 52 (1), 49-52, 2018
8 2018 Non-Abelian Lie algebroids over jet spaces AV Kiselev, AO Krutov
Journal of Nonlinear Mathematical Physics 21 (2), 188-213, 2014
8 2014 On the (Non) Removability of Spectral Parameters in -Graded Zero-Curvature Representations and Its Applications AV Kiselev, AO Krutov
Acta Applicandae Mathematicae 160 (1), 129-167, 2019
5 2019 Nichols algebras and quantum principal bundles A Krutov, R Ó Buachalla, KR Strung
International Mathematics Research Notices, 2023
4 2023 Gardner's deformations of the graded Korteweg-de Vries equations revisited AV Kiselev, AO Krutov
Journal of Mathematical Physics 53 (10), 103511, 2012
4 2012 Deformations of equations and structures in nonlinear problems of mathematical physics AO Krutov
University of Groningen, 2014
2 2014 Duflo-Serganova homology for exceptional modular Lie superalgebras with Cartan matrix A Krutov, D Leites, J Shang
arXiv preprint arXiv:2008.12033, 2020
1 2020 Computing symmetries and recursion operators of evolutionary super-systems using the SsTools environment AV Kiselev, AO Krutov, T Wolf
Nonlinear Systems and Their Remarkable Mathematical Structures 1, 390-407, 2018
1 2018 Gardner's deformation of the Krasil'shchik-Kersten system AV Kiselev, AO Krutov
Journal of Physics: Conference Series 621, 012007, 2015
1 2015 Gardner's deformations as generators of new integrable systems AV Kiselev, AO Krutov
Journal of Physics: Conference Series 482 (1), 012021, 2014
1 2014 Quantised -differential algebras A Krutov, P Pandžić
arXiv preprint arXiv:2403.08521, 2024
2024 Non-integrable distributions with simple infinite-dimensional Lie (super) algebras of symmetries A Krutov, D Leites, I Shchepochkina
arXiv preprint arXiv:2309.16370, 2023
2023 Curvature of positive relative line module over the quantum projective spaces AO Krutov, R Ó Buachalla
arXiv preprint arXiv:2309.16612, 2023
2023 Cubic Dirac operator for A Krutov, P Pandžić
arXiv preprint arXiv:2209.09591, 2022
2022