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Group gradings of M2(K)

Published online by Cambridge University Press:  17 April 2009

R. Khazal ,
Crina Boboc  and
S. Dăscălescu
R. Khazal
Affiliation:
Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, Safat 13060, Kuwait, e-mail: khazal@mcs.sci.kuniv.edu.kw
Crina Boboc
Affiliation:
University of Bucharest, Faculty of Physics, Măgurele, Bucharest, Romania, e-mail: crina@al.math.unibuc.ro
S. Dăscălescu
Affiliation:
Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, Safat 13060, Kuwait, e-mail: sdascal@mcs.sci.kuniv.edu.kw
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Abstract

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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

References

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