@article{TMF_2013_174_1_a9,
author = {V. A. Stukopin},
title = {The~Yangian of the~strange {Lie} superalgebra and its quantum double},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {140--153},
year = {2013},
volume = {174},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2013_174_1_a9/}
}
V. A. Stukopin. The Yangian of the strange Lie superalgebra and its quantum double. Teoretičeskaâ i matematičeskaâ fizika, Tome 174 (2013) no. 1, pp. 140-153. http://geodesic.mathdoc.fr/item/TMF_2013_174_1_a9/
[1] V. G. Kac, Commun. Math. Phys., 53:1 (1977), 31–64 | DOI | MR | Zbl
[2] L. Frappat, A. Sciarrino, P. Sorba, Dictionary on Lie Superalgebras, Academic Press, San Diego, CA, 2000 | MR | Zbl
[3] V. G. Drinfel'd, “Quantum groups”, Proceedings of the International Congress of Mathematicians (Berkeley, California, August 3–11, 1986), v. 1, ed. A. M. Gleason, AMS, Providence, RI, 1988, 798–820 | MR
[4] V. G. Drinfeld, Dokl. AN SSSR, 283:5 (1985), 1060–1064 | MR | Zbl
[5] V. G. Drinfeld, Dokl. AN SSSR, 296:1 (1987), 13–17 | MR
[6] V. G. Drinfeld, Funkts. analiz i ego pril., 20:1 (1986), 69–70 | DOI | MR | Zbl
[7] V. Chari, A. Pressley, A Guide to Quantum Groups, Camb. Univ. Press, Cambridge, 1995 | MR | Zbl
[8] A. I. Molev, “Yangians and their applications”, Handbook of Algebra, v. 3, ed. M. Hazewinkel, Elsevier, Amsterdam, 2003, 907–959, arXiv: math.QA/0211288 | DOI | MR | Zbl
[9] A. I. Molev, Yangiany i klassicheskie algebry Li, MTsNMO, M., 2009 | MR | Zbl
[10] V. A. Stukopin, Funkts. analiz i ego pril., 28:3 (1994), 85–88 | DOI | MR | Zbl
[11] M. Nazarov, Lett. Math. Phys., 21:2 (1991), 123–131 | DOI | MR | Zbl
[12] G. Arutyunov, S. Frolov, Foundations of the $AdS^5\times S^5$ Superstring. Part 1, arXiv: 0901.4937 | MR
[13] L. Dolan, C. R. Nappi, E. Witten, “Yangian symmetry in $D=4$ superconformal Yang–Mills theory”, Quantum Theory and Symmetries, Proceedings of the 3rd International Symposium (Cincinnati, USA, 10–14 September 2003), eds. P. C. Argyres, T. J. Hodges, F. Mansouri, J.J. Scanio, P. Suranyi, L. C. R. Wijewardhana, World Scientific, Hackensack, NJ, 2004, 300–315, arXiv: hep-th/0401243 | DOI | MR
[14] F. Spill, A. Torrielli, J. Geom. Phys., 59:4 (2010), 489–502, arXiv: 0803.3194 | DOI | MR
[15] A. I. Molev, M. L. Nazarov, G. I. Olshanskii, UMN, 51:2(308) (1996), 27–104 | DOI | DOI | MR | Zbl
[16] V. Stukopin, SIGMA, 3 (2007), 069, 12 pp. | DOI | MR | Zbl
[17] V. A. Stukopin, Sovremennaya matematika i ee prilozheniya. Algebra, 60 (2008), 145–163 | DOI | MR | Zbl
[18] V. A. Stukopin, Fundament. i prikladnaya matematika, 11:2 (2005), 185–208 | MR | Zbl
[19] V. A. Stukopin, Funkts. analiz i ego pril., 40:2 (2006), 86–90 | DOI | DOI | MR | Zbl
[20] D. B. Fuks, Kogomologii beskonechnomernykh algebr Li, Nauka, M., 1984 | MR | Zbl
[21] K. Kassel, Kvantovye gruppy, Fazis, M., 1999 | MR | Zbl