Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 288, Issue 2, Pages 653-675Publisher
SPRINGER
DOI: 10.1007/s00220-009-0779-3
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Funding
- EPSRC [EP/E004008/1]
- European Union [MRTN-CT-2004-5652]
- ESF
- EPSRC [EP/E004008/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/E004008/1] Funding Source: researchfish
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It is shown that the deformed Macdonald-Ruijsenaars operators can be described as the restrictions on certain affine subvarieties of the usual Macdonald- Ruijsenaars operator in infinite number of variables. The ideals of these varieties are shown to be generated by the Macdonald polynomials related to Young diagrams with special geometry. The super Macdonald polynomials and their shifted version are introduced; the combinatorial formulas for them are given.
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