On discrete series subrepresentations of the generalized principal series

On discrete series subrepresentations of the generalized principal series
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关于广义主级数的离散级数子表示

DOI:
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
I. Matić
I. Matić
中科院分区:
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文献类型:
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作者:
I. Matić

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本文研究了一类广义主数列,得到了这种归纳表示包含离散级数子商的充分必要条件。进一步证明,如果属于所研究族的广义主级数具有离散级数子商,则它具有离散级数子表示。
In this paper we study certain family of generalized principal series and obtain necessary and sufficient conditions under which such induced representations contain discrete series subquotients. Further, we show that if the generalized principal series which belongs to the studied family has a discrete series subquotient then it has a discrete series subrepresentation.