Dunkl-Type Operators with Projection Terms Associated to Orthogonal Subsystems in Root System
In this paper, we introduce a new differential-difference operator T_ξ (ξ∈R^N) by using projections associated to orthogonal subsystems in root systems. Similarly to Dunkl theory, we show that these operators commute and we construct an intertwining operator between T_ξ and the directional derivativ...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2013-10-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2013.064 |