Contributions from conjugacy classes of regular elliptic elements in $\textrm {Sp}(n, \textbf {Z})$ to the dimension formula
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- by Min King Eie
- Trans. Amer. Math. Soc. 285 (1984), 403-410
- DOI: https://doi.org/10.1090/S0002-9947-1984-0748846-X
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Abstract:
The dimension of the space of cusp forms on the degree $n$ Siegel upper half-space can be obtained from the Selberg trace formula; in this paper we compute the contribution from the conjugacy classes of regular elliptic elements in $\operatorname {Sp}(n,{\mathbf {Z}})$ using Weyl’s character formula for representations of ${\text {GL}}(n,{\mathbf {C}})$.References
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Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 285 (1984), 403-410
- MSC: Primary 11F46; Secondary 11F72
- DOI: https://doi.org/10.1090/S0002-9947-1984-0748846-X
- MathSciNet review: 748846