Characters and decomposition of a representation in a number field
Let A be an ideal in R, the ring of algebraic integers in a number field. The group of residue classes mod A prime to A has a representation U on the space of functions on R mod A. This representation is decomposed and the multiplicity of each character in it is determined. Some consequences of this...
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| Published in | Journal of number theory Vol. 16; no. 1; pp. 31 - 48 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.01.1983
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| Online Access | Get full text |
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| Summary: | Let
A be an ideal in
R, the ring of algebraic integers in a number field. The group of residue classes mod
A prime to
A has a representation
U on the space of functions on
R mod
A. This representation is decomposed and the multiplicity of each character in it is determined. Some consequences of this are obtained and det
U is evaluated. |
|---|---|
| ISSN: | 0022-314X 1096-1658 |
| DOI: | 10.1016/0022-314X(83)90030-6 |