Number of components of the nullcone
classification
🧮 math.AG
math.GRmath.RT
keywords
algebraiccomponentsnullconenumbersimplealgebraansweringconnected
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Answering the question of A. Joseph, for every pair $(G, V)$ where $G$ is a connected simple linear algebraic group and $V$ is a simple algebraic $G$-module with a free algebra of invariants, the number of irreducible components of the nullcone of unstable vectors in $V$ is found.
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