Group gradings of M2(K)

Group gradings of M2(K)

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).

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 2003-10, Vol.68 (2), p.285-293
Hauptverfasser: Khazal, R., Boboc, Crina, Dăscălescu, S.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical analysis
Matrix algebra
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Zusammenfassung: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).
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700037667