V. Chari and A. Pressley, A guide to quantum groups, 1994.

J. Dixmier, Alg ebres enveloppantes, Gauthier-Villars (1974)) English translation: J. Dixmier, Enveloping algebras, 1977.

S. Montgomery, Hopf algebras and their actions on rings, CBMS Regional Conference Series in Mathematics, vol.82, 1993.
DOI : 10.1090/cbms/082

V. Drinfeld, On some unsolved p r oblems in quantum group theory, Lect. Notes in Math, 1510.

A. Medina, . Ph, and . Revoy, Alg ebres de Lie et produit scalaire invariant, Ann. Scient. Ec. Norm. Sup, vol.18, 1985.

N. Jacobson, Lie Algebras, 1962.

P. Etingof, T. Schedler, and O. Schiiman, Explicit quantization for dynamical r-matrices for nite dimensional semisimple Lie algebras, J. Amer. Math. Soc, p.13, 2000.

A. Isaev and O. Ogievetsky, On quantization of r matrices for Belavin-Drinfeld triples, Physics of Atomic Nuclei, vol.64, issue.12, 2001.
DOI : 10.1134/1.1432911
URL : https://hal.archives-ouvertes.fr/hal-00473332

A. Belavin and V. Drinfeld, Triangle equations and simple Lie algebras, S o v. Sci. Rev. C, vol.4, 1984.

L. Faddeev, N. Reshetikhin, and L. Takhtajan, Quantization of Lie groups and Lie algebras, Algebra i Analiz 1 (1989)) English translation: Leningrad Math, J, p.1, 1990.

V. Drinfeld, Quasi-Hopf algebras, Algebra i Analiz 1 (1989)) English translation: Leningrad Math, J, p.1, 1990.

. Yu and . Manin, Quantum groups and noncommutative geometry, C e n tre de Recherches Math ematiques, 1988.

G. Bergman, The diamond lemma for ring theory, Advances in Mathematics, vol.29, issue.2, 1978.
DOI : 10.1016/0001-8708(78)90010-5

J. Wess and B. Zumino, Covariant diierential calculus on the quantum hyperplane, Nucl. Phys. B (Proc, p.18, 1990.

D. Gurevich, Algebraic aspects of the quantum Yang-Baxter equation English translation: Leningrad Math, Algebra i Analiz J, vol.2, issue.2, 1990.

M. Artin and W. Schelter, Graded algebras of global dimension 3, Advances in Mathematics, vol.66, issue.2, 1987.
DOI : 10.1016/0001-8708(87)90034-X

H. Ewen and O. Ogievetsky, Classiication of quantum matrix groups in 3 dimensions, Preprint MPI-Ph, pp.94-93

G. Lusztig, Introduction to quantum groups, 1993.
DOI : 10.1007/978-0-8176-4717-9

V. Ufnarovsky, Combinatorial and asymptotic methods in algebra, Current problems in mathematics: Fundamental directions, 5{177, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, 1990.

O. Ogievetsky, Matrix Structure o f SL q (2) for q a r oot of unity

N. Reshetikhin and V. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, I n vent, Math, vol.103, 1991.

A. Alekseev, D. Glushchenkov, and A. Lyakhovskaya, Regular representation of the quantum group slq(2) (q i s a r oot of unity) English translation: St. Petersburg Math, Algebra i Analiz J, vol.6, issue.6, 1994.

H. Schneider, Lectures on Hopf algebras notes by Sonia Natale, pp.31-95, 1995.

D. Concini and V. Kac, Representations of quantum groups at roots of 1, in: Operator algebras, unitary representations, enveloping algebras, and invariant theory, 1989.

V. Drinfeld, Quantum groups, Proc. Int. Congr. Math, vol.1, 1986.

M. Jimbo, A q-diierence analogue of Uq(g) and the Yang-Baxter equation, Lett. Math. Phys, vol.1, 1985.

V. Drinfeld, Almost cocommutative Hopf algebras, Algebra i Analiz 1 (1989)) English translation: Leningrad Math, J, p.1, 1990.

S. L. Woronowicz, Solutions of the braid equation related t o a H o p f a l g e b r a, Lett. Math. Phys, vol.23, 1991.

A. P. Isaev, Twisted Y ang-Baxter equations for linear quantum (super)groups, J . P h ys, A: Math. Gen, p.29, 1996.

B. Zumino, Deformation of the quantum mechanical phase space w i t h b osonic or fermionic coordinates, Modern Phys, Lett, p.6, 1991.

O. Ogievetsky, Real forms of special linear quantum groups, Preprint MPI-Ph, pp.92-141

O. Ogievetsky, Real forms of symplectic and orthogonal quantum groups, Preprint MPI- Ph, pp.92-50

E. Twietmeyer, Real forms of Uq(g), Lett. Math. Phys, vol.24, 1992.

V. Gorbatsevich, A. Onishchik, and E. Vinberg, Foundations of Lie theory and Lie transformation groups, Encyclopaedia Math. Sci, vol.20, 1993.