Fetching the paper…
Reading the bibliography…
The Sklyanin algebra $S_{\eta}$ has a well-known family of infinite-dimensional representations $D(\mu)$, $\mu \in C^*$, in terms of difference operators with shift $\eta$ acting on even meromorphic functions.
P. Griffiths and J. Harris, Principles of algebraic geometry , John Wiley, New York, 1978
1978
Earlier work this paper cites.
E. K. Sklyanin, Some algebraic structures connected with the Yang-Baxter equation , Func. Anal. Appl. 16
1982
Earlier work this paper cites.
E. K. Sklyanin, Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras , Func. Anal. Appl. 17
1983
Earlier work this paper cites.
M. Artin, J. Tate and M. van den Bergh, Some algebras associated to automorphisms of elliptic curves , in “The Grothendieck Festschrift” Vol. 1 (P. Cartier, L. Illusie, N. M. Katz, G. Laumon, Yu. I. Manin and K. A. Ribet, Eds.), pp. 33–85, Birkhäuser, Boston, 1990
1990
Earlier work this paper cites.
A. V. Odesskii and B. L. Feigin, Sklyanin’s elliptic algebras , Func. Anal. Appl. 23
1990
Earlier work this paper cites.
S. P. Smith and J. M. Staniszkis, Irreducible representations of the 4-dimensional Sklyanin algebra at points of infinite order , J. of Alg. 160
1993
Earlier work this paper cites.
J. F. van Diejen, Integrability of difference Calogero-Moser systems , J. Math. Phys. 35
1994
Cited alongside, same era.
I. Krichever and A. Zabrodin, Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra , Russ. Math. Surv. 50
1995
Cited alongside, same era.
S. N. M. Ruijsenaars, First-order analytic difference equations and integrable quantum systems , J. Math. Phys. 38
1997
Cited alongside, same era.
A. V. Odesskii, Elliptic algebras , Russ. Math. Surv. 57
2002
Cited alongside, same era.
H. Rosengren, Sklyanin invariant integration , Intern. Math. Res. Notices 60
2004
Cited alongside, same era.
S. N. M. Ruijsenaars, Elliptic integrable systems of Calogero-Moser type: Some new results on joint eigenfunctions , in Proceedings of the Kyoto 2004 Workshop “Elliptic integrable systems” (M. Noumi and K. Takasaki, Eds.), pp. 223-240, Vol. 18, Rokko Lectures in Math., Dept. of Math., Kobe Univ., 2005
2005
Later among the works it cites.
E. M. Rains, B C n BC_{n} -symmetric abelian functions , Duke Math. J. 135
2006
Later among the works it cites.
Y. Chernyakov, A. M. Levin, M. Olshanetsky and A. Zotov, Quadratic algebras related to elliptic curves , Theor. Math. Phys. 156
2008
Later among the works it cites.
Y. Komori, M. Noumi and J. Shiraishi, Kernel functions for difference operators of Ruijsenaars type and their applications , in Proceedings of the Bonn 2008 Workshop “Elliptic integrable systems, isomonodromy problems, and hypergeometric functions” (M. Noumi, E. M. Rains, H. Rosengren and V. P. Spiridonov, Eds.), SIGMA 5
2009
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
S. N. M. Ruijsenaars, Integrable B C N BC_{N} analytic difference operators: Hidden parameter symmetries and eigenfunctions , in Proceedings of the Cadiz 2002 NATO Advanced Research Workshop “New trends in integrability and partial solvability”, NATO Science Series Vol. 132, (A. B. Shabat, A. González-López, M. Mañas, L. Martínez Alonso and M. A. Rodríguez, Eds.), pp. 217–261, Kluwer, Dordrecht, 2004
2004
Cited alongside, same era.
S. N. M. Ruijsenaars, Hilbert-Schmidt operators vs. integrable systems of elliptic Calogero-Moser type. I. The eigenfunction identities , Commun. Math. Phys. 286
2009
Later among the works it cites.
V. P. Spiridonov, Continuous biorthogonality of an eliptic hypergeometric function , St. Petersburg Math. J. 20
2009
Later among the works it cites.