Algebraic integrability of Macdonald operators and representations of quantum groups

Compositio Mathematica

Volumn 114, Issue 2, 1998, Pages 125-152

  Etingof, Pavel ^a   Styrkas, Konstantin ^b  

^a HARVARD UNIVERSITY   (United States)

^b YALE UNIVERSITY   (United States)

Author keywords

Algebraic integrability; Macdonald operators; Quantum groups

Indexed keywords

EID: 0000491290     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1000498420849     Document Type: Article

References (9)

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5. deConcini, C. and Kac, V.: Representations of Quantum Groups at Roots of 1, Operator algebras, unitary representations, enveloping algebras, and invariant theory (1990) Birkhauser, Boston, pp. 471-506.
6. Etingof, P. and Kirillov, A. Jr.: Macdonald polynomials and representations of quantum groups, Nucl. Phys. B 317 (1994) 215-236.
7. Etingof, P. and Styrkas, K.: Algebraic integrability of Schrödinger operators and representations of Lie algebras, Compositio Mathematica 98 (1995) 91-112.
8. Felder, G. and Varchenko, A.: Three formulas for eigenfunctions of integrable Schrödinger operators, Preprint (1995).
9. Veselov, A., Styrkas, K. and Chalykh, O.: Algebraic integrability for the Schrödinger equation and finite reflection groups, Theor. and Math. Physics 94(2) (1993).