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arXiv · math-ph/0212059

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

Thomas Guhr·Heiner Kohler
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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.

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Thomas Guhr, Heiner Kohler. 2002-12-19. Angular Gelfand--Tzetlin Coordinates for the Supergroup UOSp(k_1/2k_2). https://doi.org/10.1063/1.1594819

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