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Group gradings of M2(K)
Published online by Cambridge University Press: 17 April 2009
Abstract
We describe all group gradings of the matrix algebra M2(k), where k is an arbitrary field. We prove that any such grading reduces to a grading of type C2, a grading of type C2 × C2, or to a good grading. We give new simple proofs for the description of C2-gradings and C2 × C2-gradings on M2(K).
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 285 - 293
- Copyright
- Copyright © Australian Mathematical Society 2003
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