Foundational material on radial operators on complex Lie supergroups is presented. In particular, a local version of Berezin's recursion formula for describing the radial parts of fundamental operators in general linear and ortho-symplectic cases is proved. Results which are suitable for applications for computing characters which are only defined on proper subdomains or covering spaces thereof are established.
1
Fakultät für Mathematik, Ruhr-Universität Bochum, Universitätsstrasse 150, 44801 Bochum, Germany
2
School of Science and Engineering, Jacobs University, Campus Ring 1, 28759 Bremen, Germany
Alan Huckleberry; Matthias Kalus. Radial Operators on Lie Supergroups and Characters of Representation. Journal of Lie Theory, Tome 24 (2014) no. 4, pp. 1033-1046. http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a6/
@article{JOLT_2014_24_4_a6,
author = {Alan Huckleberry and Matthias Kalus},
title = {Radial {Operators} on {Lie} {Supergroups} and {Characters} of {Representation}},
journal = {Journal of Lie Theory},
pages = {1033--1046},
year = {2014},
volume = {24},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a6/}
}
TY - JOUR
AU - Alan Huckleberry
AU - Matthias Kalus
TI - Radial Operators on Lie Supergroups and Characters of Representation
JO - Journal of Lie Theory
PY - 2014
SP - 1033
EP - 1046
VL - 24
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a6/
ID - JOLT_2014_24_4_a6
ER -
%0 Journal Article
%A Alan Huckleberry
%A Matthias Kalus
%T Radial Operators on Lie Supergroups and Characters of Representation
%J Journal of Lie Theory
%D 2014
%P 1033-1046
%V 24
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a6/
%F JOLT_2014_24_4_a6
