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Let g be a complex, semisimple Lie algebra, and Y_h(g) and U_q(Lg) the Yangian and quantum loop algebra of g.
G. D. Birkhoff, General theory of linear difference equations , Trans. Amer. Math. Soc. 12
1911
Earlier work this paper cites.
by same author, The generalized Riemann problem for linear differential equations and allied problems for linear difference and q q –difference equations , Proc. Amer. Acad. of Arts and Sci. 49
1913
Earlier work this paper cites.
E. T. Whittaker and G. N. Watson, A course of modern analysis , 4th ed., Cambridge University Press, 1927
1927
Earlier work this paper cites.
N. Dunford and J. T. Schwartz, Linear operators. Part I. General theory , John Wiley and Sons, 1958
1958
Earlier work this paper cites.
R. J. Baxter, Exactly solved models of statistical mechanics , Academic Press, 1982
1982
Earlier work this paper cites.
L. Faddeev, Integrable models in (1+1)–dimensional quantum field theory , Recent advances in field theory and statistical mechanics (Les Houches, 1982), North-Holland, 1984, pp. 561–608
1984
Earlier work this paper cites.
L. A. Takhtadzhyan, Solutions of the triangle equations with Z n × Z n Z_{n}\times Z_{n} -symmetry and matrix analogues of the Weierstrass zeta and sigma functions , Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 133
1984
Earlier work this paper cites.
V. V. Bazhanov, Trigonometric solutions of triangle equations and classical Lie algebras , Phys. Lett. B 159
1985
Earlier work this paper cites.
V. G. Drinfeld, Hopf algebras and the quantum Yang-Baxter equation , Soviet Math. Dokl. 32
1985
Earlier work this paper cites.
by same author, Quantum groups , Proceedings of the I.C.M., Berkeley (1986), 798–820
1986
Earlier work this paper cites.
by same author, Integrable quantum systems and classical Lie algebras , Comm. Math. Phys. 113
1987
Earlier work this paper cites.
by same author, A new realization of Yangians and quantum affine algebras , Soviet Math. Dokl. 36
1988
Earlier work this paper cites.
G. Lusztig, Affine Hecke algebras and their graded versions , Journal of the A.M.S. 2
1989
Earlier work this paper cites.
V. Chari and A. Pressley, Yangians and R R -matrices , Enseign. Math. 36
1990
Earlier work this paper cites.
V. G. Kac, Infinite dimensional Lie algebras , Cambridge University Press, 1990
1990
Earlier work this paper cites.
by same author, Quantum affine algebras , Comm. Math. Phys. 142
1991
Earlier work this paper cites.
I. B. Frenkel and N. Yu. Reshetikhin, Quantum affine algebras and holonomic difference equations , Comm. Math. Phys. 146
1992
Earlier work this paper cites.
S. Z. Levendorskii, On generators and defining relations of Yangians , Journal of Geometry and Physics 12
1992
Earlier work this paper cites.
F. A. Smirnov, Form factors in completely integrable models of quantum field theory , Advanced series in mathematical physics, vol. 14, World Scientific, 1992
1992
Cited alongside, same era.
by same author, Introduction to quantum groups , Birkhäuser, 1993
1993
Cited alongside, same era.
by same author, A guide to quantum groups , Cambridge University Press, 1994
1994
Cited alongside, same era.
G. Felder, Conformal field theory and integrable systems associated to elliptic curves , Proceedings of the ICM, Z u ¨ \ddot{\text{u}} rich, vol. 2, 1994, pp. 1247–1255
1994
Cited alongside, same era.
by same author, Quantum affine algebras and their representations , Representations of Groups, CMS Conf. Proc., vol. 16, 1995, pp. 59–78
1995
Cited alongside, same era.
I. M. Krichever, Analytic theory of difference equations with rational and elliptic coefficients and the Riemann–Hilbert problem , Russian Math. Surveys 59
2004
Later among the works it cites.
I. Cherednik, Double affine Hecke algebras , London Mathematical Society Lecture Note Series, vol. 319, Cambridge University Press, 2005
2005
Later among the works it cites.
by same author, Representations of quantum affinizations and fusion product , Transform. Groups 10
2005
Later among the works it cites.
by same author, Drinfeld coproduct, quantum fusion tensor category and applications , Proc. Lond. Math. Soc. (3) 95
2007
Later among the works it cites.
K. Miki, A ( q , γ ) (q,\gamma) analog of the W 1 + ∞ W_{1+\infty} algebra , J. Math. Phys. 48
2007
Later among the works it cites.
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H. Knight, Spectra of tensor products of finite dimensional representations of Yangians , J. Algebra 174
1995
Cited alongside, same era.
J. Beck and V. G. Kac, Finite–dimensional representations of quantum affine algebras at roots of unity , Journal of the AMS 9
1996
Cited alongside, same era.
M. van der Put and M. F. Singer, Galois theory of difference equations , Lecture Notes in Mathematics, vol. 1666, Springer-Verlag, 1997
1997
Cited alongside, same era.
V. Ginzburg, Geometric methods in the representation theory of Hecke algebras and quantum groups , NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 514, pp. 127–183, Kluwer, 1998
1998
Cited alongside, same era.
P. Etingof and O. Schiffmann, On highest weight modules over elliptic quantum groups , Lett. Math. Phys. 47
1999
Cited alongside, same era.
E. Frenkel and N. Yu. Reshetikhin, The q q -characters of representations of quantum affine algebras and deformed 𝒲 \mathcal{W} algebras , Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC), Contemp. Math., vol. 248, AMS, Providence, RI, 1999, pp. 163–205
1999
Cited alongside, same era.
M. Jimbo, H. Konno, S. Odake, and J. Shiraishi, Quasi-Hopf twistors for elliptic quantum groups , Transform. Groups 4
1999
Cited alongside, same era.
H. Iritani, An integral structure in quantum cohomology and mirror symmetry for toric orbifolds , Adv. Math. 222
2009
Later among the works it cites.
A. Okounkov and R. Pandharipande, The quantum differential equation of the Hilbert scheme of points in the plane , Transform. Groups 15
2010
Later among the works it cites.
V. V. Bazhanov, R. Frassek, T. Łukowski, C. Meneghelli, and M. Staudacher, Baxter 𝐐 \bf Q -operators and representations of Yangians , Nuclear Phys. B 850
2011
Later among the works it cites.
B. Feigin, E. Feigin, M. Jimbo, T. Miwa, and E. Mukhin, Quantum continuous 𝔤 𝔩 ∞ \mathfrak{gl}_{\infty} : semiinfinite construction of representations , Kyoto J. Math. 51
2011
Later among the works it cites.
O. Schiffmann and E. Vasserot, The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials , Compos. Math. 147
2011
Later among the works it cites.
N. Guay and X. Ma, From quantum loop algebras to Yangians , J. London Math. Soc. 86
2012
Later among the works it cites.
D. Maulik and A. Okounkov, Quantum Groups and Quantum Cohomology , arXiv:1211.1287
2012
Later among the works it cites.
S. Gautam and V. Toledano Laredo, Yangians and quantum loop algebras , Selecta Mathematica 19
2013
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2014
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O. Tsymbaliuk, The affine Yangian of 𝔤 𝔩 1 \mathfrak{gl}_{1} revisited , arXiv:1404.5240
2014
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E. Frenkel and D. Hernandez, Baxter’s relations and spectra of quantum integrable models , Duke Math. J. 164
2015
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by same author, Elliptic quantum groups and their finite–dimensional representations , 2015, in preparation
2015
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