Hecke-normalized rational slash operator

ID: hecke-normalized-rational-slash-operator

For a rational matrix of positive determinant, this slash normalization differs from the determinant-normalized slash operator by . Both are right actions, by the automorphy factor identity. For a positive scalar , the displayed action of is multiplication by . On determinant-one matrices it agrees with the ordinary slash operator for modular forms. This normalization makes a good-prime Hecke operator a plain sum over its double-coset representatives.

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