nLab
rational vector space
Redirected from "rational vector spaces".
Contents
Context
Linear algebra
linear algebra, higher linear algebra
Ingredients
Basic concepts
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ring, A-∞ ring
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commutative ring, E-∞ ring
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module, ∞-module, (∞,n)-module
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field, ∞-field
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vector space, 2-vector space
rational vector space
real vector space
complex vector space
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topological vector space
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linear basis,
orthogonal basis, orthonormal basis
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linear map, antilinear map
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matrix (square, invertible, diagonal, hermitian, symmetric, …)
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general linear group, matrix group
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eigenspace, eigenvalue
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inner product, Hermitian form
Gram-Schmidt process
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Hilbert space
Theorems
(…)
Group theory
group theory
Classical groups
Finite groups
Group schemes
Topological groups
Lie groups
Super-Lie groups
Higher groups
Cohomology and Extensions
Related concepts
Contents
Definition
A vector space/module over the field of rational numbers.
Equivalently, a torsion-free divisible group.
References
- Phillip A. Griffith, Infinite Abelian group theory Chicago Lectures in Mathematics. University of Chicago Press. (1970) [ISBN 0-226-30870-7]
Last revised on October 19, 2022 at 07:17:03.
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