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Group Gradings on Matrix Algebras

Group Gradings on Matrix Algebras

Abstract Let Φ be an algebraically closed field of characteristic zero, G a finite, not necessarily abelian, group. Given a G -grading on the full matrix algebra A = M n (Φ), we decompose A as the tensor product of graded subalgebras A = B ⊗ C, B ≅ M …