Adic Representations

Some articles on adic representations, adic, representations, adic representation:

Cyclotomic Character - As A Compatible System of ℓ-adic Representations
... By varying ℓ over all prime numbers, a compatible system of ℓ-adic representations is obtained from the ℓ-adic cyclotomic characters (when considering compatible systems of representations, the ... is to say, χ = { χℓ }ℓ is a "family" of ℓ-adic representations satisfying certain compatibilities between different primes ... In fact, the χℓ form a strictly compatible system of ℓ-adic representations ...
Galois Module - Galois Representations in Number Theory - ℓ-adic Representations
... An ℓ-adic representation of GK is a continuous group homomorphism ρ GK → Aut(M) where M is either a finite-dimensional vector space over Qℓ (the algebraic ... The first examples to arise were the ℓ-adic cyclotomic character and the ℓ-adic Tate modules of abelian varieties over K ... Unlike Artin representations, ℓ-adic representations can have infinite image ...