Combinatorics and invariant differential operators on multiplicity free spaces
نویسندگان
چکیده
منابع مشابه
Combinatorics and invariant differential operators on multiplicity free spaces
where Λ+ is a set of dominant weights and Mλ is a simple G-module of lowest weight −λ. All elements of Mλ are homogeneous of the same degree, denoted l(λ). Now consider an invariant differential operator D on U . It will act on each irreducible constituent Mλ as a scalar, denoted by cD(λ). It can be shown that cD extends to a polynomial function to V , the C-span of Λ+. Thus, D 7→ cD is a homom...
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The analysis of invariant differential operators on certain multiplicity free spaces led recently to the introduction of a family of symmetric polynomials that is more general than Jack polynomials (see [KS], but also [OO1], [OO2]). They are called interpolation Jack polynomials, shifted Jack polynomials, or Capelli polynomials. Apart from being inhomogeneous, they are distinguished from classi...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2003
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00633-6