Vladimir L. Popov: Number of components of the nullcone


Submission: 2015, Apr 19

Answering A. Josephs' question, we find 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.

2010 Mathematics Subject Classification: 20Gxx

Keywords and Phrases: simple linear algebraic group, simple module, nullcone, irreducible component, orbit

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