Lie algebras | Algebraic geometry

Tate vector space

In mathematics, a Tate vector space is a vector space obtained from finite-dimensional vector spaces in a way that makes it possible to extend concepts such as dimension and determinant to an infinite-dimensional situation. Tate spaces were introduced by Alexander Beilinson, Boris Feigin, and Barry Mazur, who named them after John Tate. (Wikipedia).

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Sum of residues formula | Laurent series | John Tate (mathematician) | Inverse limit | Formal power series | Vector space | Determinant | Riemann–Roch theorem | Exact category | Ring (mathematics) | Commensurability (group theory) | Direct limit