Search for "Invariant theory" in article titles:

1. Invariant theory: Invariant theory is a branch of abstract algebra dealing with actions of groups on algebraic varieties, such as vector spaces, from the point of view of their effect on functions. Classically, the theory dealt with the question of explicit description ... [100%] 2023-08-23 [Invariant theory]
2. Invariant theory: Let \displaystyle{ G }[/math] be a group, and \displaystyle{ V }[/math] a finite-dimensional vector space over a field \displaystyle{ k }[/math] (which in classical invariant theory was usually assumed to be the complex numbers). A representation of \displaystyle{ G ... [100%] 2023-02-18 [Invariant theory]
3. Modular invariant theory: In mathematics, a modular invariant of a group is an invariant of a finite group acting on a vector space of positive characteristic (usually dividing the order of the group). The study of modular invariants was originated in about 1914 ... [81%] 2023-02-18 [Invariant theory]
4. Geometric invariant theory: In mathematics, geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces. It was developed by David Mumford in 1965, using ideas from the paper (Hilbert 1893) in ... (Concept in algebraic geometry) [81%] 2023-03-12 [Scheme theory] [Algebraic groups]...
5. Modular invariant theory: In mathematics, a modular invariant of a group is an invariant of a finite group acting on a vector space of positive characteristic (usually dividing the order of the group). The study of modular invariants was originated in about 1914 ... [81%] 2023-02-08 [Invariant theory]
6. Glossary of invariant theory: This page is a glossary of terms in invariant theory. For descriptions of particular invariant rings, see invariants of a binary form, symmetric polynomials. (Wikipedia glossary) [70%] 2022-09-11 [Invariant theory] [Glossaries of mathematics]...
7. Gamma-invariant in the theory of Abelian groups: $ \Gamma $- invariant An invariant associated to an uncountable Abelian group and taking values in a Boolean algebra. Two groups with different invariants are non-isomorphic, but the converse fails in general: groups with the same invariant need not be isomorphic. (Mathematics) [50%] 2023-10-12
8. Gamma-invariant in the theory of modular forms: $ \Gamma $- invariant Let $ G ( \Gamma ) $ be a Fuchsian group of the first kind, acting on the real hyperbolic plane $ H $. Suppose that $ G $ is a group of genus zero, i.e. (Mathematics) [50%] 2023-09-19