Knop F (1998)
Publication Language: English
Publication Status: Published
Publication Type: Book chapter / Article in edited volumes
Publication year: 1998
Edited Volumes: Proc. NATO Adv. Study Inst. on Representation Theory and Algebraic Geometry
Series: Nato ASI Series C
City/Town: Dortrecht
Book Volume: 514
Pages Range: 301-317
Conference Proceedings Title: Proc. NATO Adv. Study Inst. on Representation Theory and Algebraic Geometry, Nato ASI Series C, Vol. 514
DOI: 10.1007/978-94-015-9131-7_7
We study multiplicity free representations of connected reductive groups. First we give a simple criterion to decide the multiplicity freeness of a representation. Then we determine all invariant differential operators in terms of a finite reflection group, the little Weyl group, and give a characterization of the spectrum of the Capelli operators. At the end, we reproduce the classification of multiplicity free representations (without proof) annotated with the same basic data.
APA:
Knop, F. (1998). Some remarks on multiplicity free spaces. In A. Broer, A. Daigneault, G. Sabidussi (Eds.), Proc. NATO Adv. Study Inst. on Representation Theory and Algebraic Geometry. (pp. 301-317). Dortrecht.
MLA:
Knop, Friedrich. "Some remarks on multiplicity free spaces." Proc. NATO Adv. Study Inst. on Representation Theory and Algebraic Geometry. Ed. A. Broer, A. Daigneault, G. Sabidussi, Dortrecht, 1998. 301-317.
BibTeX: Download