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Millionshchikov, Dmitriĭ Vladimirovich; Smirnov, Sergeĭ Valer’evich
Characteristic algebras and integrable exponential systems. (Russian. English translation) Zbl 07407668
Ufim. Mat. Zh. 13, No. 2, 44-73 (2021); translation in Ufa Math. J. 13, No. 2, 41-69 (2021).
MSC:  37K10 37K30 17B67 17B70
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\textit{D. V. Millionshchikov} and \textit{S. V. Smirnov}, Ufim. Mat. Zh. 13, No. 2, 44--73 (2021; Zbl 07407668); translation in Ufa Math. J. 13, No. 2, 41--69 (2021)
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Pikhtil’kova, Ol’ga Aleksandrovna; Meshcherina, Elena Vladimirovna; Blagovisnaya, Anna Nikolaevna; Pronina, Elena Vladislavovna; Evseeva, Ol’ga Alekseevna
On a locally nilpotent Jacobson radical for special Lie algebras. (Russian. English summary) Zbl 07407014
Chebyshevskiĭ Sb. 22, No. 1(77), 234-272 (2021).
Reviewer: V. V. Gorbatsevich (Moskva)
MSC:  17B05 17B30 17B65
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\textit{O. A. Pikhtil'kova} et al., Chebyshevskiĭ Sb. 22, No. 1(77), 234--272 (2021; Zbl 07407014)
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Gerdjikov, V. S.; Mladenov, D. M.; Stefanov, A. A.; Varbev, S. K.
The mKdV-type equations related to \(A_5^{(1)}\) and \(A_5^{(2)}\) Kac-Moody algebras. (English. Russian original) Zbl 07364291
Theor. Math. Phys. 207, No. 2, 604-625 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 237-260 (2021).
MSC:  37K10 37K30 17B67 17B80
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\textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 207, No. 2, 604--625 (2021; Zbl 07364291); translation from Teor. Mat. Fiz. 207, No. 2, 237--260 (2021)
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Liashyk, A.; Pakuliak, S. Z.
Algebraic Bethe ansatz for \(\mathfrak{o}_{2n+1}\)-invariant integrable models. (English. Russian original) Zbl 1467.81054
Theor. Math. Phys. 206, No. 1, 19-39 (2021); translation from Teor. Mat. Fiz. 206, No. 1, 23-46 (2021).
MSC:  81Q80 81Q40 82B23 81R10 14D05
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\textit{A. Liashyk} and \textit{S. Z. Pakuliak}, Theor. Math. Phys. 206, No. 1, 19--39 (2021; Zbl 1467.81054); translation from Teor. Mat. Fiz. 206, No. 1, 23--46 (2021)
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Kornyak, V. V.
Dynamic simulation of quantum entanglement in finite quantum mechanics: a computer algebra approach. (English. Russian original) Zbl 1473.81043
Program. Comput. Softw. 47, No. 2, 124-132 (2021); translation from Programmirovanie 47, No. 2, 34-43 (2021).
MSC:  81P40 68W30 08A70 81R10 22E70
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\textit{V. V. Kornyak}, Program. Comput. Softw. 47, No. 2, 124--132 (2021; Zbl 1473.81043); translation from Programmirovanie 47, No. 2, 34--43 (2021)
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Fialowski, Alice; Iohara, Kenji
On Lie algebras of generalized Jacobi matrices. (English) Zbl 07350413
Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 175-186 (2021).
Reviewer: V. V. Gorbatsevich (Moskva)
MSC:  17B65 16E40 16S35 17B56
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\textit{A. Fialowski} and \textit{K. Iohara}, Banach Cent. Publ. 123, 175--186 (2021; Zbl 07350413)
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Ecker, Jill; Schlichenmaier, Martin
The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in natural modules. (English) Zbl 1475.17033
Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 141-174 (2021).
Reviewer: Friedrich Wagemann (Nantes)
MSC:  17B56 17B68 17B65 17B66 14D15 81R10 81T40
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\textit{J. Ecker} and \textit{M. Schlichenmaier}, Banach Cent. Publ. 123, 141--174 (2021; Zbl 1475.17033)
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Zavadskii, D. V.
Analogs of the Lebesgue measure in spaces of sequences and classes of functions integrable with respect to these measures. (English. Russian original) Zbl 1460.28011
J. Math. Sci., New York 252, No. 1, 36-42 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 37-44 (2018).
Reviewer: Daniel Beltiţă (Bucureşti)
MSC:  28C20 81Q05 47D08
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\textit{D. V. Zavadskii}, J. Math. Sci., New York 252, No. 1, 36--42 (2021; Zbl 1460.28011); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 37--44 (2018)
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Smolyanov, O. G.; Shamarov, N. N.
Schrödinger quantization of infinite-dimensional Hamiltonian systems with a nonquadratic Hamiltonian function. (English. Russian original) Zbl 07424595
Dokl. Math. 101, No. 3, 227-230 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 65-69 (2020).
MSC:  47-XX 46-XX
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\textit{O. G. Smolyanov} and \textit{N. N. Shamarov}, Dokl. Math. 101, No. 3, 227--230 (2020; Zbl 07424595); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 65--69 (2020)
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Beltiţă, Daniel; Odzijewicz, Anatol
Standard groupoids of von Neumann algebras. (English) Zbl 07400844
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser/Springer. Trends Math., 31-39 (2020).
MSC:  46L10 46L60 53D17 22A22 22E65 58B25
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\textit{D. Beltiţă} and \textit{A. Odzijewicz}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser/Springer. 31--39 (2020; Zbl 07400844)
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Dimakis, Aristophanes; Müller-Hoissen, Folkert
Differential calculi on associative algebras and integrable systems. (English) Zbl 1469.16021
Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 385-410 (2020).
MSC:  16E45 16S38 37K30 58J72
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\textit{A. Dimakis} and \textit{F. Müller-Hoissen}, Springer Proc. Math. Stat. 317, 385--410 (2020; Zbl 1469.16021)
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Abramov, Viktor; Lätt, Priit
Ternary Lie superalgebras and Nambu-Hamilton equation in superspace. (English) Zbl 07392784
Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 47-80 (2020).
MSC:  17B60 37K30 17A40 37K25
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\textit{V. Abramov} and \textit{P. Lätt}, Springer Proc. Math. Stat. 317, 47--80 (2020; Zbl 07392784)
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