linear algebraic group
linear algebraic group noun: an algebraic group that is isomorphic to a subgroup of some general linear group.
Noun
linear algebraic group (plural linear algebraic groups)
- An algebraic group that is isomorphic to a subgroup of some general linear group.
- Geometric invariant theory arises in an attempt to construct a quotient of an algebraic variety X by an algebraic action of a linear algebraic group G.2003, Igor Dolgachev, Lectures on Invariant Theory, Cambridge University Press, page xiii
- The differential Galois group of a homogeneous linear differential equation has a structure of linear algebraic group; hence it is endowed, in particular, with the Zariski topology.[…]Kolchin used the differential algebra developed by Ritt and also built the foundations of the theory of linear...2011, Teresa Crespo, Zbigniew Hajto, Algebraic Groups and Differential Galois Theory, American Mathematical Society, page xi
Forms of linear algebraic group
| plural | linear algebraic groups |
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Questions about linear algebraic group
- What does linear algebraic group mean?
- Linear algebraic group means an algebraic group that is isomorphic to a subgroup of some general linear group.
- What part of speech is linear algebraic group?
- Linear algebraic group is a noun.
- What is the plural of linear algebraic group?
- The plural of linear algebraic group is linear algebraic groups.
Words near linear algebraic group in the dictionary
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Adapted from Wiktionary: linear algebraic group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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