SU(2,1)的酉(g, K)模

Acta mathematica Spalatensia Pub Date : 2018-10-03 DOI:10.32817/AMS.1.1.9

D. Kovacevic

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摘要

苏让G =(2, 1)。本文对g的不可约酉(g,K)模进行参数化，参数化分两步完成。首先，我们将不可约(g,K)模参数化(定理10)。在第二步，我们找到酉(g,K)模(定理18)。可以将我们的结果与[4]和[5]进行比较。

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Unitary (g, K) modules of SU(2, 1)

Let G=SU(2,1). In this paper we parametrize irreducible unitary (g,K) modules of G. The parametrization is done in two steps. Firstly, we parametrize irreducible (g,K) modules (Theorem 10). In the second step we find unitary (g,K) modules (Theorem 18). One can compare our results with [4] and [5].

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Acta mathematica Spalatensia

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