超群UOSp(k_1/2k_2)的角Gelfand-Tzetlin坐标
Angular Gelfand--Tzetlin Coordinates for the Supergroup UOSp(k_1/2k_2)
摘要:
构造了酉正交辛超群UOSp(k_1/2k_2)的Gelfand-Tzetlin坐标.这推广了以前酉超群U(k_1/k_2)的构造。我们把注意力集中在角Gelfand-Tzetlin坐标上,也就是说,我们的坐标保持在超群的空间中。我们还给出了超群UOSp(k_1/2k_2)的广义Gelfand模式,并讨论了它对表示论的各种意义.
英文摘要:
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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