On systems of commuting matrices, Frobenius Lie algebras and Gerstenhaber's Theorem

19 Feb 2020 Diatta Andre Manga Bakary Mbaye Ameth

Let M and N be two commuting square matrices of order n with entries in an algebraically closed field K. Then the associative commutative K-algebra, they generate, is of dimension at most n. This result was proved by Murray Gerstenhaber in [Gerstenhaber, M.; On dominance and varieties of commuting matrices. Ann... (read more)

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  • RINGS AND ALGEBRAS
  • MATHEMATICAL PHYSICS
  • COMMUTATIVE ALGEBRA
  • MATHEMATICAL PHYSICS
  • SYMPLECTIC GEOMETRY