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Regular representation of the group \(\mathrm{GL}(N, \mathbb{R} )\): factorization, Casimir operators and Toda chain. (English. Russian original) Zbl 07566752

J. Math. Sci., New York 264, No. 3, 215-231 (2022); translation from Zap. Nauchn. Semin. POMI 494, 23-47 (2020).
MSC:  17Bxx 22-XX 81Rxx
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Lie algebra of Killing vector fields and its stationary subalgebra. (English. Russian original) Zbl 07557130

J. Math. Sci., New York 263, No. 3, 404-414 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 169, 56-66 (2019).
MSC:  53C20 54H15
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