The multiplicity formula \(\nu^n_r\) (Q2723167)
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scientific article; zbMATH DE number 1613858
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The multiplicity formula \(\nu^n_r\) |
scientific article; zbMATH DE number 1613858 |
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2 July 2001
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Siegel upper half space
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Satake compactification
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0.84076357
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0.81843776
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0.80459976
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0.8019088
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The multiplicity formula \(\nu^n_r\) (English)
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Let \(q,r,n\) be fixed positive integers, \(0\leq r\leq n\), \(q\geq 2\), \(H_n\) be the Siegel upper half space and \(\Gamma_n(q)\) be the standard congruence subgroup of level \(q\) of \(\Gamma_n= (2n,\mathbb{Z})\). In this paper the author gives a formula for the total number of boundary components of dimension \(r\) of the Satake compactification of \(\Gamma_n(q)\setminus H_n\). The proof is based on the study of \(\Gamma_n(q)\) and its double cosets.NEWLINENEWLINEFor the entire collection see [Zbl 0948.00027].
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