Action of Hecke operatorT(p) on theta series
β Scribed by Anatolii N. Andrianov
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 474 KB
- Volume
- 247
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let K be the splitting field of the characteristic polynomial of the Hecke operator T 2 acting on the d-dimensional space of cusp forms of weight k and level 1. We show, for various values of k, that the Galois group Gal(KΓQ) is the full symmetric group on d symbols.
The Eichler Commutation Relation shows that the space spanned by theta series attached to lattices in a given family (a finite collection of genera) is invariant under a particular subalgebra of the Hecke algebra. In previous work the author used this relation to construct eigenforms for this subalg