Questions and Answers
What is a root system in mathematics?
A configuration of vectors in a Euclidean space satisfying certain geometrical properties
What do the vectors in a root system do?
Span the whole space and have specific reflection properties
How are the vectors related in a root system?
Through reflections in certain lines
What is the significance of Dynkin diagrams in the context of root systems?
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In which areas of mathematics are root systems applied?
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