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On Poisson pairs associated to modified $R$-matrices
Dmitrii Gurevich and Dmitrii Panyushev
Source: Duke Math. J. Volume 73, Number 2
(1994), 249-255.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288810
Mathematical Reviews number (MathSciNet): MR1262206
Zentralblatt MATH identifier: 0824.58022
Digital Object Identifier: doi:10.1215/S0012-7094-94-07311-0
References
[BD] A. Belavin and V. Drinfeld, On solutions of the classical Yang-Baxter equation for simple Lie algebras, Funct. Anal. Appl. 16 (1982), 159–180.
Zentralblatt MATH: 0511.22011
Mathematical Reviews (MathSciNet): MR674005
[DG1] J. Donin and D. Gurevich, Some Poisson structures associated to Drinfeld-Jimbo $R$-matrices and their quantization, preprint, Bar-Ilan University, 1993.
Mathematical Reviews (MathSciNet): MR1357743
Digital Object Identifier: doi:10.1007/BF02762068
[DG2] J. Donin and D. Gurevich, Braiding of the light algebra $\mathfraksl_2$, preprint, Max-Planck Institut, 1993.
Mathematical Reviews (MathSciNet): MR1215525
[DGM] J. Donin, D. Gurevich, and S. Majid, $R$-matrix brackets and their quantization, Ann. Inst. H. Poincaré Phys. Théor. 58 (1993), no. 2, 235–246.
Mathematical Reviews (MathSciNet): MR94d:17013
Zentralblatt MATH: 0783.17005
[GRZ] D. Gurevich, V. Rubtsov, and N. Zobin, Quantization of Poisson pairs: the $R$-matrix approach, J. Geom. Phys. 9 (1992), no. 1, 25–44.
Mathematical Reviews (MathSciNet): MR93f:58088
Zentralblatt MATH: 0747.58058
Digital Object Identifier: doi:10.1016/0393-0440(92)90024-U
[KRR] S. Khoroshkin, A. Radul, and V. Rubtsov, A family of Poisson structures on Hermitian symmetric spaces, Comm. Math. Phys. 152 (1993), no. 2, 299–315.
Mathematical Reviews (MathSciNet): MR94d:58063
Zentralblatt MATH: 0785.58024
Digital Object Identifier: doi:10.1007/BF02098301
Project Euclid: euclid.cmp/1104252411
[K] V. G. Kac, Some remarks on nilpotent orbits, J. Algebra 64 (1980), no. 1, 190–213.
Mathematical Reviews (MathSciNet): MR81i:17005
Zentralblatt MATH: 0431.17007
Digital Object Identifier: doi:10.1016/0021-8693(80)90141-6
[P] D. Panyushev, Complexity and nilpotent orbits, preprint, Max-Planck Institut, 1993.
Mathematical Reviews (MathSciNet): MR1277527
Zentralblatt MATH: 0822.14024
Digital Object Identifier: doi:10.1007/BF02567611
[SS] T. A. Springer and R. Steinberg, Conjugacy classes, Seminar on Algebraic Groups and Related Finite Groups (The Institute for Advanced Study, Princeton, N.J., 1968/69), Lecture Notes in Math., vol. 131, Springer-Verlag, Berlin, 1970, pp. 167–266.
Mathematical Reviews (MathSciNet): MR42:3091
Zentralblatt MATH: 0249.20024
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