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@article{AL_2022_61_1_a4, author = {M. E. Goncharov and D. E. Kozhukhar'}, title = {{\CYRO}{\cyrp}{\cyre}{\cyrr}{\cyra}{\cyrt}{\cyro}{\cyrr}{\cyrery} {{\CYRR}{\cyro}{\cyrt}{\cyrery}--{\CYRB}{\cyra}{\cyrk}{\cyrs}{\cyrt}{\cyre}{\cyrr}{\cyra}} {\cyrn}{\cyre}{\cyrn}{\cyru}{\cyrl}{\cyre}{\cyrv}{\cyro}{\cyrg}{\cyro} {\cyrv}{\cyre}{\cyrs}{\cyra} {\cyrn}{\cyra} {\cyrp}{\cyro}{\cyrl}{\cyrn}{\cyro}{\cyrishrt} {\cyrl}{\cyri}{\cyrn}{\cyre}{\cyrishrt}{\cyrn}{\cyro}{\cyrishrt} {\cyra}{\cyrl}{\cyrg}{\cyre}{\cyrb}{\cyrr}{\cyre} {{\CYRL}{\cyri}} {\cyrp}{\cyro}{\cyrr}{\cyrya}{\cyrd}{\cyrk}{\cyra}~$2$}, journal = {Algebra i logika}, pages = {93--97}, publisher = {mathdoc}, volume = {61}, number = {1}, year = {2022}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AL_2022_61_1_a4/} }
TY - JOUR AU - M. E. Goncharov AU - D. E. Kozhukhar' TI - Операторы Роты--Бакстера ненулевого веса на полной линейной алгебре Ли порядка~$2$ JO - Algebra i logika PY - 2022 SP - 93 EP - 97 VL - 61 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AL_2022_61_1_a4/ LA - ru ID - AL_2022_61_1_a4 ER -
M. E. Goncharov; D. E. Kozhukhar'. Операторы Роты--Бакстера ненулевого веса на полной линейной алгебре Ли порядка~$2$. Algebra i logika, Tome 61 (2022) no. 1, pp. 93-97. http://geodesic.mathdoc.fr/item/AL_2022_61_1_a4/
[1] G. Baxter, “An analytic problem whose solution follows from a simple algebraic identity”, Pac. J. Math., 10 (1960), 731–742
[2] A. A. Belavin, V. G. Drinfeld, “O resheniyakh klassicheskogo uravneniya Yanga–Bakstera dlya prostykh algebr Li”, Funkts. analiz i ego pril., 16:3 (1982), 1–29
[3] M. A. Semenov-Tyan-Shanskii, “Chto takoe klassicheskaya $r$-matritsa”, Funkts. analiz i ego pril., 17:4 (1983), 17–33
[4] M. E. Goncharov, “On Rota-Baxter operators of non-zero weight arisen from the solutions of the classical Yang-Baxter equation”, Sib. elektron. matem. izv., 14 (2017), 1533–1544 http://semr.math.nsc.ru/v14/p1533-1544.pdf
[5] E. I. Konovalova, Dvoinye algebry Li, diss. kand. fiz.-mat. nauk, Ulyanovsk, 2009
[6] Yu Pan, Q. Liu, C. Bai, L. Guo, “PostLie algebra structures on the Lie algebra $\mathrm{sl}(2,\mathbb{C})$”, Electron. J. Linear Algebra, 23 (2012), 180–197
[7] J. Pei, C. Bai, L. Guo, “Rota-Baxter operators on $\mathrm{sl}(2,\mathbb{C})$ and solutions of the classical Yang-Baxter equation”, J. Math. Phys., 55:2 (2014), 021701, 17 pp.
[8] P. Benito, V. Gubarev, A. Pozhidaev, “Rota-Baxter operators on quadratic algebras”, Mediterr. J. Math., 15:5 (2018), 189, 23 pp.
[9] X. Tang, Y. Zhang, Q. Sun, “Rota-Baxter operators on 4-dimensional complex simple associative algebras”, Appl. Math. Comput., 229 (2014), 173–186
[10] V. V. Sokolov, “Classification of constant solutions of the associative Yang-Baxter equation on $\mathrm{Mat}_3$”, Theor. Math. Phys., 176:3 (2013), 1156–1162
[11] M. Goncharov, V. Gubarev, “Rota-Baxter operators of nonzero weight on the matrix algebra of order three”, Linear Multilinear Algebra, 70:6 (2022), 1055–1080