On the Eigenvalues of the Hecke OperatorT2

✍ Scribed by Kevin Buzzard

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 203 KB
• Volume: 57
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1996.0039

✦ Synopsis

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(KÂQ) is the full symmetric group on d symbols.