Angular Gelfand--Tzetlin Coordinates for the Supergroup UOSp(k_1/2k_2)
Mathematical Physics
2009-11-07 v1 math.MP
Abstract
We construct Gelfand--Tzetlin coordinates for the unitary orthosymplectic supergroup UOSp(k_1/2k_2). This extends a previous construction for the unitary supergroup U(k_1/k_2). We focus on the angular Gelfand--Tzetlin coordinates, i.e. our coordinates stay in the space of the supergroup. We also present a generalized Gelfand pattern for the supergroup UOSp(k_1/2k_2) and discuss various implications for representation theory.
Cite
@article{arxiv.math-ph/0212059,
title = {Angular Gelfand--Tzetlin Coordinates for the Supergroup UOSp(k_1/2k_2)},
author = {Thomas Guhr and Heiner Kohler},
journal= {arXiv preprint arXiv:math-ph/0212059},
year = {2009}
}