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ℒ‐invariant of the adjoint Galois representation of modular forms of finite slope
Author(s) -
Mok Chung Pang
Publication year - 2012
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jds032
Subject(s) - mathematics , galois module , invariant (physics) , eigenvalues and eigenvectors , pure mathematics , modular design , differential galois theory , algebra over a field , galois group , embedding problem , computer science , physics , mathematical physics , quantum mechanics , operating system
We establish a formula for the ℒ‐invariant of the adjoint p ‐adic Galois representation of cuspidal eigenform that is of finite slope at p . The formula relates the ℒ‐invariant to the derivative of the U p ‐eigenvalue of the Coleman family, generalizing a result of Hida.
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