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Ñïèñîê ëèòåðàòóðû
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1. |
Drinfel'd V. G., “Quantum groups”, Proceedings of the International Congress of Mathematicians, Vol. 1, Berkley, 1988, 789–820 |
2. |
Drinfel'd V. G., “Hopf algebras and the quantum Yang–Baxter equation”, Soviet Math. Dokl., 32 (1985), 254–258 |
3. |
Drinfel'd V. G., “A new realization of Yangians and of quantum affine algebras”, Soviet Math. Dokl., 36 (1988), 212–216 |
4. |
Molev A., “Yangians and their applications”, Handbook of Algebra, Vol. 3, North-Holland, Amsterdam, 2003, 907–959 ; math.QA/0211288 |
5. |
Chari V., Pressley A., A guide to quantum groups, Camb. Univ. Press, Cambridge, 1995 |
6. |
Zhang R. B., “Representations of super Yangian”, J. Math. Phys., 36 (1995), 3854–3865 ; hep-th/9411243 |
7. |
Zhang R. B., “The $\mathfrak{gl}(M,N)$ super Yangian and its finite-dimensional
representations”, Lett. Math. Phys., 37 (1996), 419–434 ; q-alg/9507029 |
8. |
Zhang Y.-Z., “Super-Yangian double and its central extension”, Phys. Lett. A, 234 (1997), 20–26 ; q-alg/9703027 |
9. |
Crampe N., “Hopf structure of the Yangian $Y(sl_n)$ in the Drinfel'd realization”, J. Math. Phys., 45 (2004), 434–447 ; math.QA/0304254 |
10. |
Stukopin V., “Yangians of Lie superalgebras of type $A(m,n)$”, Funct. Anal. Appl., 28:3 (1994), 217–219 |
11. |
Stukopin V., “Representation theory and doubles of Yangians of classical Lie
superalgebras”, Asymptotic Combinatorics with Application to Mathematical Physics (2001, St. Petersburg), NATO Sci. Ser. II Math. Phys. Chem., 77, Kluwer Acad. Publ., Dordrecht, 2002, 255–265 |
12. |
Stukopin V., “Yangians of classical Lie superalgebras: basic constructions, quantum
double and universal $R$-matrix”, Proceedings of Fourth International Conference “Symmetry in Nonlinear
Mathematical Physics” (July 9–15, 2003, Kyiv), Proceedings of Institute of Mathematics, Kyiv, 50, no. 3, eds. A. G. Nikitin, V. M. Boyko, R. O. Popovych and I. A. Yehorchenko, 2004, 1196–1201 |
13. |
Stukopin V., Quantum double of Yangian of Lie superalgebra $A(m,n)$ and
computation of universal $R$-matrix, math.QA/0504302 |
14. |
Nazarov M., “Quantum Berezinian and the classical Capelly identity”, Lett. Math. Phys., 21 (1991), 123–131 |
15. |
Nazarov M., “Yangian of the queer Lie superalgebra”, Comm. Math. Phys., 208 (1999), 195–223 ; math.QA/9902146 |
16. |
Kac V., “A sketch of Lie superalgebra theory”, Comm. Math. Phys., 53 (1977), 31–64 |
17. |
Frappat L., Sciarrino A., Sorba P., Dictionary on Lie superalgebras, Academic Press, Inc., San Diego, CA, 2000 |
18. |
Leites D., Serganova V., “Solutions of the classical Yang–Baxter equations for simple Lie
superalgebras”, Theoret. and Math. Phys., 58:1 (1984), 16–24 |