Even though the approach is purely combinatorial, the main motivation comes from multiplicity free actions of reductive groups on vector spaces. Then the algebra of invariant differential operators has a distinguished basis, the Capelli operators, which gives rise to a basis *P* as above. The paper ends with a comprehensive table listing the combinatorial structure of multiplicity free actions.},
author = {Knop, Friedrich},
doi = {10.1007/PL00001395},
faupublication = {no},
journal = {Selecta Mathematica-New Series},
keywords = {Difference operators; Multiplicity free spaces},
pages = {443-470},
peerreviewed = {Yes},
title = {{Construction} of commuting difference operators for multiplicity free spaces},
volume = {6},
year = {2000}
}