Квантовые группы - Кассель К.
Скачать (прямая ссылка):
[JaclO] Jackson F. H. g-Difference equations. Amer. J. Math., 1910, 32, 305-314.
[Jac79] Jacobson N. Lie Algebras. New York: Dover Publ., 1979.
[Jim85] Jimbo M. A ^-difference analogue of U(g) and the Yang-Baxter equation. Lett. Math. Phys., 1985, 10, 63-69.
[Jim86a] Jimbo M. A ^-analogue of U(gl(N + 1)), Hecke algebra and the Yang-Baxter equation. Lett. Math. Phys., 1986, 11, 247-252.
[Jim86b] Jimbo M. Quantum ії-matrix for the generalised Toda system. Comm. Math. Phys., 1986, 102, 537-547.
[JL92] Joseph A., Letzter G. Localfinitenessoftheadjointaction for quantized enveloping algebras. J. Algebra, 1992, 153, 289-318.
[Jon85] Jones V. F. R. A polynomial invariant for links via von Neumann algebras. Bull. Amer. Math. Soc., 1985, 12, 103-111.
[Jon87] Jones V. F. R. Hecke algebra representations of braid groups and link polynomials. Ann. of Math. (2), 1987, 126, 335-388.
[JS91a] Joyal A., Street R. The geometry of tensor calculus. I. Adv. Math., 1991, 88, 55-112.
[JS91b] Joyal A., Street R. An introduction to Tannakian duality.
In: Category Theory (Como, 1990). Berlin: Springer-Verlag, 1991, 413-492. (Lect. Notes in Math., 1488.)
[JS91c] Joyal A., Street R. Tortile Yang-Baxter operators in tensor categories. J. Pure Appl. Algebra, 1991, 71, 43-51.
[JS93] Joyal A., Street R. Braided tensor categories. Adv. Math., 1993, 102, 20-78.
[Kap93] Kapranov M. M. The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation. J. Pure Appl. Algebra, 1993, 85, 119-142.
[Kas92] Kassel С. Cours sur Ies groupes quantiques. 1 partie. Strasbourg: Publ. I.R.M.A., 1992.
[Kau87a] Kauffman L. H. On Knots. Princeton, NJ: Princeton Univ. Press, 1987. (Ann. Math. Stud., 115.)
[Kau87b] Kauffman L. H. State models and the Jones polynomial. Topology, 1987, 26, 395-407.
[Kau91] Kauffman L. H. Knots and Physics. River Edge, NJ: World Scientific Publ. Co, 1991. (Ser. on Knots and Everything, 1.) 642
Цитированная литература 642
[Ке164] Kelly G. М. On Mac Lane's conditions for coherence of natural associativities, commutativities, etc. J. Algebra, 1964, 1, 397-402.
[KK89] Koelink H. T., Koornwinder Т.Н. TheClebsch-Gordan coefficients for the quantum group SflU(T) and <7-Hahn polynomials. Proc. Kon. Nederl. Akad. Wetensch. Л92, Indag. Math. (N. S.), 1989, 51, 443-456.
[KL80] Kelly G. M., Laplaza M. L. Coherence for compact closed categories. J. Pure Appl. Algebra, 1980, 19, 193-213.
[KM91] Kirby R., Melvin P. The 3-manifold invariants of Witten and Reshetikhin-Turaev for s[(2,C). Invent. Math., 1991, 105, 473-545.
[KN63] Kobayashi S., Nomizu K. Foundations of Differential Geometry. I, II. New York: Wiley Interscience, 1963.
Перевод на русский язык: Кобаяси Ш., Номидзу К. Основы дифференциальной геометрии. I, II. M.: Наука, 1981.
[Koh85] Kohno Т. Serie de Poiricare-Koszul associee aux groupes de tresses pures. Invent. Math., 1985, 82, 57-75.
[Koh87] Kohno Т. Monodromy representations of braid groups and Yang-Baxter equations. Ann. Inst. Fourier (Grenoble), 1987, 37, 139-160.
[Koh88] Kohno T. Hecke algebra representations of braid groups and classical Yang-Baxter equations. In: Conformal Field Theory and Solvable Lattice Models (Kyoto, 1986). Boston, MA: Academic Press, 1988, 255-269. (Adv. Stud. Pure Math., 16.)
[Kon93] Kontsevich M. Vassiliev's knot invariants. In: Gelfand Seminar.
P. 2. Providence, RI: Amer. Math. Soc., 1993, 137-150. (Adv. in Soviet Math., 16.)
[Koo90] Koornwinder Т.Н. Orthogonal polynomials in connection with quantum groups. In: Orthogonal Polynomials: Theory and Practice (Columbus, Ohio, 1989). Dordrecht: Kluwer Acad. Publ., 1990, 257-292. (NATO Adv. Sei. Inst. Ser. C: Math. Phys. Sei., 294.)
[KR81] Kulish P.P., Reshetikhin N. Yu.
На русском языке: Кулиш П. П., Решетихин Н. Ю. Квантовая линейная задача для уравнения син-Гордон и высших представлений. Зап. научн. семин. ЛОМИ, 1981, 101, 101-110.
[KR89] Kirillov A.N., Reshetikhin N. Yu. Representationsofthe algebra Uq(sl(2)), ^-orthogonal polynomials and invariant of links. In: Infinite-dimensional Lie Algebras and Groups (Luminy-Marseille, 1988). Teaneck, NJ: World Scientific, 1989, 285-339. (Adv. Ser. Math. Phys., 7.) Цитированная литература
643
[KR90] Kirillov A. N., Reshetikhin N. Yu. g-Weyl group and а multiplicative formula for universal Д-matrices. Comm. Math. Phys., 1990, 134, 421-431.
[KS80] Kulish P.P., Sklyanin E. K.
На русском языке: Кулиш П. П., Склянин Е. К. Решения уравнения Янга-Бакстера. Зап. научн. семин. ЛОМИ, 1980, 95, 129-160, 161.
[КТ92] Kassel A., Turaev V. Doubleconstructionformonoidalcate-gories. Acta Math., 1995, 175(1), 1-48.
[КТ94] Kassel C., Turaev V. Chorddiagraminvaxiantsoftanglesand graphs. Duke Math. J., 1998, 92(3), 497-552.
[KZ84] Knizhnik V. G., Zamolodchikov A.B. Currentalgebra and Wess-Zumino models in two dimensions. Nucl. Phys. B, 1984, 247,83-103.
[Lan65] Lang S. Algebra. Reading, MA: Addison Wesley, 1965.
