Квантовые группы - Кассель К.
Скачать (прямая ссылка):
[RA89] Roche P., Arnaudon D. Irreducible representations of the quantum analogue of SU(2). Lett. Math. Phys., 1989, 17, 295-300.
[Rad76] Radford D. E. The order of the antipode of a finite-dimensional Hopf algebra is finite. Amer. J. Math., 1976, 98, 333-355.
[Rad93a] Radford D.E. Minimal quasitriangular Hopf algebras. J. Algebra, 1993, 157, 285-315.
[Rad93b] Radford D. E. Solutions to the quantum Yang-Baxter equation and the Drinfeld double. J. Algebra, 1993, 161, 20-32.
[Ree58] Ree R. Lie elements and an algebra associated with shuffles. Ann. of Math. (2), 1958, 68, 210-220.
[Rei32] Reidemeister K. Knotentheorie. Ergebnisse der Mathematik und ihrer Grenzgebiete (Alte Folge), V. 1. Berlin: Julius Springer, 1932. English transl.: Knot Theory. Moscow, ID: BCS Associates, 1983. 646
Цитированная литература 646
[Res90] Reshetikhin N. Yu. Multipaxametric quantum groups and twisted quasitriangular Hopf algebras. Lett. Math. Phys., 1990, 20, 331-335.
[Reu93] Reutenauer C. Free Lie Algebras. Oxford: Clarendon Press, 1993.
[Rol76] Rolfsen D. Knots and Links. Berkeley, CA: Publish or Perish, 1976. (Math. Lect. Ser., 7.)
[Ros88] Rosso M. Finite-dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra. Comm. Math: Phys., 1988, 117, 581-593.
[Ros89] Rosso M. An analogue of P. B. W. theorem and the universal iZ-ma-trix for Uhsl(N + 1). Comm. Math. Phys., 1989, 124, 307-318.
[Ros90] Rosso M. Analogues de la formule de Killing et du theoreme d'Harish-Chandra pour Ies groupes quantiques. Ann. Sei. Ecole. Norm. Sup. (4), 1990, 23, 445-467.
[Ros92] Rosso M. Representations des groupes quantiques. In: Seminaire Bourbaki 1990/91. Paris: Societe Mathematique de France, 1992, 443-483. (Asterisque, 201-203, Exp. 744.)
[RSTS88] Reshetikhin N. Yu., Semenov-Tian-Shansky M. A.
Quantum ії-matrices and factorization problems. J. Geom. Phys., 1988, 5, 533-550.
[RT90] Reshetikhin N. Yu., Turaev V. G. Ribbongraphsandtheir invariants derived from quantum groups. Comm. Math. Phys., 1990, 127, 1-26.
[RT91] Reshetikhin N. Yu., Turaev V. G. Invariants of 3-manifolds via link polynomials and quantum groups. Invent. Math., 1991, 103, 547-597.
[RTF89] Reshetikhin N. Yu., Takhtadjan L. A., Faddeev L. D.
На русском языке: Решетихин H. Ю., Тахтаджян JI. А., Фаддеев JI. Д. Квантование групп Ли и алгебр Ли. Алгебра и анализ, 1989, 1, 178-206.
[Sal90] Saleur Н. Representations of I/,(sl(2)) for q a root of unity. In: Number Theory and Physics (Les Houches, 1989). Berlin: Springer-Verlag, 1990, 68-76. (Springer Proc. Phys., 47.)
[Sch92] Schauengurg P. On Coquasitriangular Hopf Algebras and the Quantum Yang-Baxter Equation. Munchen: Verlag Reinhard Fischer, 1992. (Algebra Berichte, 67.) Цитированная литература
647
[SC56] Seminaire Henri Cartan de l'Ecole Normale Superieure, 1954/55.
Algebres d'Eilenberg-Mac Lane et homotopie. 2 ed. Paris: Ecole Normale Superieure, 1956.
Перевод на русский язык: Алгебры когомологий пространств Эйленберга-Маклейна. Математика, Сб. перев., 1959, 3(5), 3-50; 1959, 3(6), 3-45.
[Ser65] Serre J.-P. Lie Algebras and Lie Groups. New York-Amsterdam: W.A.Benjamin, Inc., 1965.
Перевод на русский язык: Cepp Ж. - П. Алгебры Ли и группы Ли. M.: Мир, 1969.
[Ser93] Serre J.-P. Algebres. Enseign. Math. (2), 1993, 39, 33-85.
[Shu90] Shum M. С. Tortile tensor categories. J. Pure Appl. Algebra, 1994, 93(1), 57-110.
[Skl85] Sklyanin E. K.
На русском языке: Склянин Е. К. Об алгебре, порожденной квадратичными соотношениями. Успехи матем. наук, 1985, 40(2), 214.
[Sla66] Slater L. J. Generalized Hypergeometric Functions. Cambridge: Cambridge Univ. Press, 1966.
[SR72] Savedra Rivano N. Categories tannakiennes. Berlin-New York: Springer-Verlag, 1972. (Lect. Notes in Math., 256.)
[Sta92] Stanford T. Finite-type invariants of knots, links, and graphs. Topology, 1996, 35, 1027-1050.
[Sta93] Stanford T. Braid commutators and Vassiliev invariants. Pacific J. Math., 1996, 174, 269-276.
[Sud90] Sudbery A. Consistent multiparametric quantisation of GL(n). J. Phys. A, 1990, 23, L697-L704.
[Swe69] Sweedler M. Hopf Algebras. New York: W.A.Benjamin, Inc., 1969.
[Taf71] Taft E. J. The order of the antipode of finite-dimensional Hopf algebras. Proc. Nat. Acad. Sei. USA, 1971, 68, 2631-2633.
[Tak81] Takeuchi M. Matchedpairsofgroupsandbismashproductsof Hopf algebras. Comm. Algebra, 1981, 9, 841-882.
[Tak85] Takeuchi M. Topological coalgebras. J. Algebra, 1985, 97, 505-539.
[Tak89] Takeuchi M. Quantum orthogonal and symplectic groups and their embedding into quantum GL. Proc. Japan Acad., Ser. A, Math. Sci., 1989, 65, 55-58. 648
Цитированная литература 648
[Так92а] [Так92Ь]
[Так92с]
[Тап90]
№33]
[Tur88]
[Тиг89]
[Tur92] [Tur94] [TW80]
[Vak89]
[Var74] [Vas90]
[Vas92]
Takeuchi M. Finite-dimensional representations of the quantum Lorentz group. Comm. Math. Phys., 1992, 144, 557-580.
