Invariant differential operators on a class of 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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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2014
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2014.270.473