show · cmf.decomposition.new.gamma0chi all knowls · up · search:

The Hecke algebra acts on \(S_k^{\mathrm{new}}(N, \chi)\), breaking it up into irreducible pieces. Each piece is spanned by a set of conjugate eigenforms with Fourier coefficients in a number field of degree equal to the dimension of the subspace. We refer to an irreducible orbit as a newform.

Authors:
Knowl status:
  • Review status: reviewed
  • Last edited by David Roe on 2018-10-12 19:32:26
Referred to by:
History: (expand/hide all)