Angular Gelfand--Tzetlin Coordinates for the Supergroup UOSp(k1/2k2)
Thomas Guhr, Heiner Kohler
Abstract
We construct Gelfand--Tzetlin coordinates for the unitary orthosymplectic supergroup UOSp(k1/2k2). This extends a previous construction for the unitary supergroup U(k1/k2). 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(k1/2k2) and discuss various implications for representation theory.
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