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Publikováno v:
Letters in Mathematical Physics. 111
The publication of this article unfortunately contained a mistake. A grant number in the acknowledgements was not correct, instead of GACR 306 − 33/1906357 it should be GA19-06357S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e48a1358877fddf724d925443eb46788
https://doi.org/10.1007/s11005-021-01363-8
https://doi.org/10.1007/s11005-021-01363-8
We construct covariant $q$-deformed holomorphic structures for all finitely-generated relative Hopf modules over the irreducible quantum flag manifolds endowed with their Heckenberger--Kolb calculi. In the classical limit these reduce to modules of s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79b0dc45e498da12dd5fb9255588d0e1
http://arxiv.org/abs/2005.09652
http://arxiv.org/abs/2005.09652
As is well-known, the dimension of the space spanned by the non-degenerate invariant symmetric bilinear forms (NISes) on any simple finite-dimensional Lie algebra or Lie superalgebra is equal to at most 1 if the characteristic of the algebraically cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::921f5d70623d9dd9b49a67e1f5dd0ea9
Autor:
Arthemy V. Kiselev, Andrey Krutov
Publikováno v:
Acta Applicandae Mathematicae. 160:129-167
We generalise to the $\mathbb{Z}_{2}$ -graded set-up a practical method for inspecting the (non)removability of parameters in zero-curvature representations for partial differential equations (PDEs) under the action of smooth families of gauge transf
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https://explore.openaire.eu/search/publication?articleId=doi_________::fbbae8bdbdad2628114acc8c022e2264
https://doi.org/10.1007/s10440-018-0198-6
https://doi.org/10.1007/s10440-018-0198-6
Autor:
Sofian Bouarroudj, Aleksei Vital'evich Lebedev, Irina Shchepochkina, Andrey Krutov, Dmitrii Aleksandrovich Leites
Publikováno v:
Функциональный анализ и его приложения. 52:61-64
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4018cd3febe496bea7ed42f09305b432
https://doi.org/10.4213/faa3487
https://doi.org/10.4213/faa3487
Autor:
Alexei Lebedev, Andrey Krutov
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
The ground field in the text is of characteristic 2. The classification of modulo 2 gradings of simple Lie algebras is vital for the classification of simple finite-dimensional Lie superalgebras: with each grading, a simple Lie superalgebra is associ
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46caa97e6e388c99fc6cfb8b51095680
https://doi.org/10.3842/sigma.2018.130
https://doi.org/10.3842/sigma.2018.130
We review the list of non-degenerate invariant (super)symmetric bilinear forms (briefly: NIS) on the following simple (relatives of) Lie (super)algebras: (a) with symmetrizable Cartan matrix of any growth, (b) with non-symmetrizable Cartan matrix of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a5c8143f0ec44f315c21d1935c2f3d6
http://arxiv.org/abs/1806.05505
http://arxiv.org/abs/1806.05505
Autor:
Arthemy V. Kiselev, Andrey Krutov
Publikováno v:
Journal of Physics: Conference Series, 621. IoP Publishing
The classical problem of construction of Gardner's deformations for infinite-dimensional completely integrable systems of evolutionary partial differential equations (PDE) amounts essentially to finding the recurrence relations between the integrals
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a71a10a7fab5c2ef5b00d64a2cfb3041
https://research.rug.nl/en/publications/d50b3ada-9c14-41ff-961d-8e4acff602c3
https://research.rug.nl/en/publications/d50b3ada-9c14-41ff-961d-8e4acff602c3
Autor:
Arthemy V. Kiselev, Andrey Krutov
Publikováno v:
Journal of Physics: Conference Series, 482(1):012021. IoP Publishing
We re-address the problem of construction of new infinite-dimensional completely integrable systems on the basis of known ones, and we reveal a working mechanism for such transitions. By splitting the problem's solution in two steps, we explain how t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e9ce3ff9c0f6ab737bf1aeaab7180d4
https://hdl.handle.net/11370/2e23f37c-e2f4-4cc3-a2f2-a863f466161d
https://hdl.handle.net/11370/2e23f37c-e2f4-4cc3-a2f2-a863f466161d