S. Ariki: Representations of quantum algebras and combinatorics of Young tableaux. AMS 2002, 160p. $31. 5866 L. Boutet de Monvel a.o.: D-modules, representation theory, and quantum groups. SLN Math. 1565 (1993). Ken Brown/Ken Goodearl: Lectures on algebraic quantum groups. Birkhäuser 2002, 350p. $32. V. Chari/A. Pressley: A guide to quantum groups. Cambridge UP 1994, 650p. 0-521-43305-3. Pds. 60. "It is very nicely written at a high mathematical level. If you require some result concerning quantum groups or if you are not content with the presentation in the article about the quantum groups you are just reading, rest assured that this book will help you ... The book can be recommended as very good for beginners." (EMS Newsletters) 5906 C. De Concini/Claudio Procesi: Quantum groups. 5866 Boutet/, 31-140. Bangming Deng/Jie Du/Brian Parshall/Jianpan Wang: Finite-dimensional algebras and quantum groups. AMS 2008, 760p. 2853 Heinz Doebner/Jo''rg Hennig (ed.): Quantum groups. Springer 1990. L. Faddeev/N. Reshetikhin/L. Takhtajan: Quantization of Lie groups and Lie algebras. Algebra Anal. 1/1 (1989), 178-206. 8372 Davide Franco/Cesare Reina: A Borel-Weil-Bott approach to representations of sl_q(2,C). SISSA-58/93/FM (1993), 5p. I. Frenkel/J. Lepowsky/A. Meurman: Vertex operator algebras and the monster. Academic Press 1989, 560p. 0-12-267065-5. $ 70. Juerg Froehlich/T. Kerler: Quantum groups, quantum categories, and quantum field theory. SLN Math. 1542 (1993), 430p. DM 94. C. Fronsdal: gl(n,q) and quantum monodromy. Lett. Math. Phys. 24 (1992), 73-78. J. Fuchs: Affine Lie algebras and quantum groups. Cambridge UP 1992, 430p. Pds. 60. 23461 Gaston Garcia: Quantum groups and Hopf algebras. Internet 2009, 30p. Ramaswamy Jaganathan: An introduction to quantum algebras and their applications. Internet 2000, 15p. One of the nicest introductions. Jens Carsten Jantzen: Lectures on quantum groups. AMS 1995, 270p. 0-8218-0478-2. $44. A. Joseph: Quantum groups and their primitive ideals. Springer 1994, 510p. 3-540-57057-8. DM 198. The primary aim of this book is an in-depth study of the Drinfeld-Jimbo quantization Uq(g) of the enveloping algebra U(g) of a semisimple Lie algebra g and of the Hopf dual Rq(G) of Uq(g). 17425 Christian Kassel: Quantum groups. Springer 1995, 530p. $60. 5998 Louis Kauffman: Gauss codes, quantum groups and ribbon Hopf algebras. Rev. Math. Physics 5 (1993), 735-773. 16748 Erik Koelnik: 8 lectures on quantum groups and q-special functions. Internet 1996, 82p. 5867 P. Kulish (ed.): Quantum groups. SLN Math. 1510 (1992). 3-540-55305-3. 5010 P. Kulish: On recent progress in quantum groups: An introductory review. 4731 Chatterji/, 97-124. Contains an extensive bibliography. George Lusztig: Introduction to quantum groups. Birkhaeuser 1993, 320p. 0-7643-3712-5. DM 112. "... quantum groups are deformations of the enveloping (Hopf) algebras of semisimple Lie algebras ... The book is recommendable only for working mathematicians and graduate students having a firm knowledge of algebraic geometry and advanced Lie theory." (G. Kowol). 5905 Shahn Majid: Rank of quantum groups and braided groups in dual form. 5867 Kulish, 79-89. Shahn Majid: Reconstruction theorems and rational conformal field theories. Int. J. Mod. Phys. A (1989), ... Shahn Majid: Braided group and algebraic quantum field theories. Preprint 1990. Shahn Majid: Some physical applications of category theory. SLN Physics. Shahn Majid: Physics for algebraists. Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction. J. Algebra 130 (1990), 17-64. Shahn Majid: More examples of bicrossproduct and double cross product Hopf algebras. Israel J. Math. 72 (1990), 133-148. Shahn Majid: Quasitriangular Hopf algebras and Yang-Baxter equations. Int. J. Mod. Phys. A 5/1 (1990), 1-91. Shahn Majid: Representation theoretic rank and double Hopf algebras. Comm. Algebra 18 (1990), 3705-3712. Shahn Majid: Doubles of quasitriangular Hopf algebras. Comm. Algebra 19 (1991), 3061-3073. Shahn Majid: Braided groups. J. Pure Applied Algebra 86 (1993), 187-221. Shahn Majid: Transmutation theory and rank for quantum braided groups. Math. Proc. Camb. Phil. Soc. 113 (1993), 45-70. Shahn Majid: Examples of braided groups and braided matrices. J. Math. Physics 32 (1991), 3246-3253. 5916 Shahn Majid: Cross products by braided groups and bosonization. J. Algebra 163 (1994), 165-190. 22818 Shahn Majid: Foundations of quantum group theory. Cambridge UP 2000, 640p. Eur 57. 22817 Shahn Majid: A quantum groups primer. Cambridge UP 2003, 170p. Eur 46. Shahn Majid: What is a quantum group? Notices AMS January 2006, 30-31. Shahn Majid/Ya. Soibelman: Rank of quantized universal enveloping algebras and modular functions. Comm. Math. Phys. (1990), ... Shahn Majid/Ya. Soibelman: Chern-Simons theory, modular functions and quantum mechanics in an alcove. Int. J. Math. Phys. (1990), ... Susan Montgomery: Hopf algebras and their action on rings. AMS 1994, 240p. 0-8218-0738-2. £28. S. Neshveyev/L. Tuset: Compact quantum groups and their representation categories. SMF 2013, 170p. Eur 50. 6126 K. Rehren: Quantum symmetry associated with braid group statistics. 2853 Doebner/Hennig, 318-339. M. Schürmann: White noise on bialgebras. SLN Math. 1544 (1993), 150p. 3-540-56627-9. DM 42. 23460 Christoph Schweigert: Hopf algebras, quantum groups and topological field theory. Internet 2013, 170p. 5904 Jim Stasheff: Differential graded Lie algebras, quasi-Hopf algebras and higher homotopy algebras. 5867 Kulish, 120-137. Mitsuiro Takeuchi: Some topics on GL(n,q). J. Algebra 147 (1992), 379-410. The author adopts the point of view that a quantum group is a pair of Hopf algebras with a Hopf pairing between them. 21618 Thomas Timmermann: An invitation to quantum groups and duality. EMS 2008, 410p. Eur 82. V. Turaev: Quantum invariants of knots and 3-manifolds. De Gruyter 1994, 590p. 3-11-013704-6. DM 228. 5935 H. de Vega: Yang-Baxter algebras and quantum groups. 4779 Luck/, 56-67. H. de Vega: Yang-Baxter algebras, integrable theories and quantum groups. Int. J. Mod. Phys. 4 (1989), 2371-2463.