noun
Meaning 1
An algebraic group that is isomorphic to a subgroup of some general linear group.
Definition source: English Wiktionary via Wiktextract
Topics: algebraic-geometry, category-theory, computing, engineering, geometry, mathematics, natural-sciences, physical-sciences, sciences
Examples
- 2015, Willem A. de Graaf, Orbit Closures of Linear Algebraic Groups, Jaime Gutierrez, Josef Schicho, Martin Weimann (editors), Computer Algebra and Polynomials: Applications of Algebra and Number Theory, Springer, LNCS: 8942, page 76, Actions of linear algebraic groups appear in many contexts. [...] Throughout we assume that the base field is algebraically closed and of characteristic 0, as many constructions that we use (e.g., the correspondence between a linear algebraic group and its Lie algebra) only work well in characteristic 0.
Meaning relationships
Synonyms: none provided
Antonyms: none provided