M. Artin, N. Ringsast, ]. R. Asherova, Y. F. Smirnov, and V. N. Tolstoy, Available at http://math.mit.edu/?etingof/artinnotes.pdf Projection operators for simple Lie groups. II. General scheme for construction of lowering operators. The groups SU(n), 1999.

. [. Cherednik, Factorizing particles on a half-line and root systems, Theoretical and Mathematical Physics, vol.5, issue.1, pp.977-983, 1984.
DOI : 10.1007/BF01038545

O. [. Etingof and . Schiffmann, Lectures on the dynamical Yang-Baxter Equations, Soc. Lecture Note Ser, vol.290, pp.89-129, 2001.
DOI : 10.1017/CBO9780511542848.007

URL : http://arxiv.org/abs/math/9908064

. [. Felder, Conformal Field Theory and Integrable Systems Associated to Elliptic Curves, Proceedings of the International Congress of Mathematicians Birkhauser, 1995.
DOI : 10.1007/978-3-0348-9078-6_55

. M. Gk-]-i, A. A. Gelfand, and . Kirillov, Sur les corps liés aux algèbres enveloppantes des algèbres de Lie, Inst. HautesÉtudesHautes´HautesÉtudes Sci. Publ. Math, pp.31-36, 1966.

[. Gervais and A. Neveu, Novel triangle relation and absence of tachyons in Liouville string field theory, Nuclear Physics B, vol.238, issue.1, pp.125-141, 1984.
DOI : 10.1016/0550-3213(84)90469-3

. P. Io-]-a, O. V. Isaev, and . Ogievetsky, On Baxterized solutions of reflection equation and integrable chain models, Nuclear Physics B, vol.760, issue.3, pp.167-183, 2007.

. A. Iop, O. Isaev, P. Ogievetsky, and . Pyatov, Generalized Cayley-Hamilton-Newton identities, Czechoslovak journal of physics, vol.48, issue.11, pp.1369-1374, 1998.

A. [. Isaev, O. V. Molev, and . Ogievetsky, A New Fusion Procedure for the Brauer Algebra and Evaluation Homomorphisms, International Mathematics Research Notices, vol.11, pp.2571-2606, 2012.
DOI : 10.1093/imrn/rnr126

URL : https://hal.archives-ouvertes.fr/hal-00961354

A. P. Isaev, A. I. Molev, and O. V. Ogievetsky, Idempotents for Birman-Murakami-Wenzl algebras and reflection equation, Advances in Theoretical and Mathematical Physics, vol.18, issue.1, pp.1-25, 2014.
DOI : 10.4310/ATMP.2014.v18.n1.a1

URL : https://hal.archives-ouvertes.fr/hal-01114891

O. [. Khoroshkin and . Ogievetsky, Mickelsson algebras and Zhelobenko operators, Journal of Algebra, vol.319, issue.5, pp.2113-2165, 2008.
DOI : 10.1016/j.jalgebra.2007.04.020

URL : https://hal.archives-ouvertes.fr/hal-00145242

O. [. Khoroshkin and . Ogievetsky, Diagonal reduction algebras of gl type; Functional Analysis and Its Applications, pp.182-198, 2010.

O. [. Khoroshkin and . Ogievetsky, Structure Constants of Diagonal Reduction Algebras of gl Type, Symmetry, Integrability and Geometry: Methods and Applications, vol.7, 2011.
DOI : 10.3842/SIGMA.2011.064

URL : https://hal.archives-ouvertes.fr/hal-00961353

O. [. Khoroshkin and . Ogievetsky, Rings of fractions of reduction algebras; Algebras and Representation Theory, pp.265-274, 2014.

O. [. Khoroshkin and . Ogievetsky, Diagonal reduction algebra and reflection equation; arXiv preprint, 2015.

. [. Mickelsson, Step algebras of semisimple subalgebras of Lie algebras; Rep, Math. Phys, vol.4, pp.4-303, 1973.

. P. Ks-]-p, E. K. Kulish, and . Sklyanin, Algebraic structures related to the reflection equations, J. Phys. A, vol.25, pp.5963-5975, 1992.

. [. Ogievetsky, Differential operators on quantum spaces for GL q (n) and SO q (n); Letters in, Mathematical Physics, vol.24, issue.3, pp.245-255, 1992.

. Op-]-o, T. Ogievetsky, and . Popov, R-matrices in rime, Advances in Theoretical and Mathematical Physics, vol.14, issue.2, pp.439-505, 2010.

. [. Sklyanin, Boundary conditions for integrable quantum systems, Journal of Physics A: Mathematical and General, vol.21, issue.10, pp.2375-2389, 1988.
DOI : 10.1088/0305-4470/21/10/015

N. Yu, M. A. Reshetikhin, and . Semenov-tian-shansky, Central extensions of quantum current groups, Lett. Math. Phys, pp.19-133, 1990.

V. N. Tolstoy, Fortieth anniversary of extremal projector method for Lie symmetries, Contemp. Math. Amer. Math. Soc, vol.391, pp.371-384, 2005.
DOI : 10.1090/conm/391/07342

. J. Wz, B. Wess, and . Zumino, Covariant Differential Calculus on the Quantum Hyperplane, Nucl. Phys. B (Proc, pp.18-302, 1990.

]. D. Zh and . Zhelobenko, Representations of reductive Lie algebras, Nauka, 1994.