Q-deformed KZB heat equation: Completeness, modular properties and SL(3,ℤ)

Advances in Mathematics

Volumn 171, Issue 2, 2002, Pages 228-275

  Felder, Giovanni ^a   Varchenko, Alexander ^b  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037058437     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.2002.2080     Document Type: Article

References (12)

1. I. Cherednik, Difference Macdonald-Mehta conjecture, q-alg/9702022, Internat. Math. Res. Notices No. 10 (1997), 449-467.
2. P. Etingof, and A. Kirillov Jr., On Cherednik-Macdonald-Mehta identities, q-alg/9712051, Electron. Res. Announc. Amer. Math. Soc. 4 (1998), 43-47.
3. P. Etingof and A. Varchenko, Traces of intertwiners for quantum groups and difference equations, I, math.QA/9907181, Duke Math. J. 104, No. 3 (2000), 391-432.
4. G. Felder, V. Tarasov, and A. Varchenko, Solutions of the elliptic qKZB equations and Bethe ansatz, I, Amer. Math. Soc. Transl. 180 (1997), 45-75.
5. G. Felder, V. Tarasov, and A. Varchenko, Monodromy of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard difference equations, q-alg/9705017, Internat. J. Math. 10, No. 8 (1999), 943-975.
6. G. Felder and A. Varchenko, The q-deformed Knizhnik-Zamolodchikov-Bernard equation, math/9809139, Commun. Math. Phys. 221 (2001), 549-571.
7. 3, Adv. Math. 156 (2000), 44-76.
8. G. Felder and A. Varchenko, Resonance relations for solutions of the elliptic QKZB equations, fusion rules, and eigenvectors of transfer matrices of restricted interaction round-a-face models, Commun. Contemp. Math. 1, No. 3 (1999), 335-403.
9. G. Felder and A. Varchenko, Special functions, conformal blocks, bethe ansatz, and SL(3, ℤ), math.QA/0101136, Philos. Trans. Roy. Soc. London Ser. A 359 (2001), 1365-1373.
10. J. Milnor, "Introduction to Algebraic K-Theory," Annals of Mathematics Studies, No. 72, Princeton Univ. Press, Princeton, NJ; Univ. of Tokyo Press, Tokyo, 1971.
11. S. N. M. Ruijsenaars, First order analytic difference equations and integrable quantum systems, J. Math. Phys. 38 (1997), 1069-1146.
12. V. Tarasov and A. Varchenko, Geometry of q-hypergeometric functions as a bridge between Yangians and quantum affine algebras, Invent. Math. 128, No. 3 (1997), 501-588.