K-Theory and Eisenstein series
نویسنده
چکیده
1.1 Basic Definitions Throughout these notes, V will be a finite dimensional Q-vector space. By a lattice in V we mean a finitely generated sybmodule that generates V as a Q-vector space. A subset X ⊆ V is said to be bounded if X is contained in a lattice. For a given function f on V and a vector ` ∈ V we say ` is a period of f if f(x + `) = f(x) for all x ∈ V . The set of all periods of f will be denoted Lf . If Lf is a lattice, we say f is uniformly locally constant. We define the group of test functions on V to be the group
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