Simple G-graded algebras and their polynomial identities

Abstract

Let G be any group and F an algebraically closed field of characteristic zero. We show that any G-graded finite dimensional associative G-simple algebra over F is determined up to a G-graded isomorphism by its G-graded polynomial identities. This result was proved by Koshlukov and Zaicev in case G is abelian.

23 pages

References in corpus (2)

• Representability and Specht problem for G-graded algebras
• Polynomial identities and noncommutative versal torsors

Cited by in corpus (5)

• Graded polynomial identities as identities of universal algebras
• On weak equivalences of gradings
• Graded Embeddings of Finite Dimensional Simple Graded Algebras
• On group gradings on PI-algebras
• On some H-Galois objects which are distinguished by their polynomial H-identities