Angular Gelfand--Tzetlin Coordinates for the Supergroup UOSp(k_1/2k_2)

Details Angular Gelfand--Tzetlin Coordinates for the Supergroup UOSp(k_1/2k_2) Angular Gelfand--Tzetlin Coordinates for the Supergroup UOSp(k_1/2k_2)

2002-12-19

arxiv.org/abs/math-ph/0212059v1

Physics

Mathematical Physics

Scientific paper

10.1063/1.1594819

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.

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