invariant theory
"Invariant theory" studies how certain mathematical properties remain unchanged under group transformations, making it crucial in algebra and geometry.
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Definition
C2Abstract Algebra
(technical, academic)A branch of algebra that examines how group actions on algebraic structures affect functions, focusing on those that remain unchanged.
Example
- Invariant theory helps in understanding symmetries within algebraic equations.
- Researchers use invariant theory to identify properties that remain constant under transformations.
Similar
Terms that have similar or relatively close meanings to "invariant theory":