Ol’shanskij, G. I. Yangians and universal enveloping algebras. (English. Russian original) Zbl 0691.17005 J. Sov. Math. 47, No. 2, 2466-2473 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 164, 142-150 (1987). See the review in Zbl 0668.17009. Cited in 6 Documents MSC: 17B35 Universal enveloping (super)algebras 22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties 17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) 17B65 Infinite-dimensional Lie (super)algebras Keywords:projective limit; enveloping algebras; direct limit; infinite-dimensional Lie groups; Laplace operators; Yangian Citations:Zbl 0668.17009 PDFBibTeX XMLCite \textit{G. I. Ol'shanskij}, J. Sov. Math. 47, No. 2, 2466--2473 (1989; Zbl 0691.17005); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 164, 142--150 (1987) Full Text: DOI References: [1] J. Dixmier, Universal Enveloping Algebras [Russian translation], Moscow (1978). [2] V. G. Drinfel’d, ”Quantum groups,” J. Sov. Math.,41, No. 2 (1988). [3] V. G. Kac, ”Laplace operators of infinite-dimensional Lie algebras and theta functions,” Proc. Nat. Acad. Sci. USA,81, 645–647 (1984). · Zbl 0532.17008 · doi:10.1073/pnas.81.2.645 [4] P. P. Kulish and E. K. Sklyanin, ”Quantum spectral transform. Recent developments,” Lect. Notes Physics,151, 61–119 (1982). · Zbl 0734.35071 · doi:10.1007/3-540-11190-5_8 [5] I. MacDonald, Symmetric Functions and Hall Polynomials [Russian translation], Moscow (1985). · Zbl 0672.20007 [6] G. I. Ol’shanskii, ”Unitary representations of infinite-dimensional classical groups U ({\(\rho\)},, S00({\(\rho\)},, S{\(\rho\)}({\(\rho\)}, and the corresponding groups of motions,” Funkts. Anal. Prilozhen.,12, No. 3, 32–44 (1978). [7] G. I. Ol’shanskii, ”Infinite-dimensional classical groups of finite \(\mathbb{R}\) -rank: description of representations and asymptotic theory,” Funkts. Anal. Prilozhen.,18, No. 1, 28–42 (1984). [8] L. A. Takhtadzhyan and L. D. Faddeev, ”Quantum method of the inverse problem and the XYZ Heisenberg model,” Usp. Mat. Nauk,34, No. 5, 13–63 (1979). [9] I. V. Cherednik, ”q-analogs of Gel’fand-Tsetlin bases,” Preprint Inst. Teor. Éksp. Fiz. (ITÉF), Moscow (1986). · Zbl 0645.17007 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.