Group Gradings on Matrix Algebras
2002 ◽
Vol 45
(4)
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pp. 499-508
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Keyword(s):
AbstractLet 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 = Mn(Φ), we decompose A as the tensor product of graded subalgebras A = B ⊗ C, B ≅ Mp(Φ) being a graded division algebra, while the grading of C ≅ Mq(Φ) is determined by that of the vector space Φn. Now the grading of A is recovered from those of A and B using a canonical “induction” procedure.
2012 ◽
Vol 55
(1)
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pp. 208-213
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2008 ◽
Vol 51
(2)
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pp. 182-194
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Keyword(s):
1982 ◽
Vol 33
(3)
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pp. 351-355
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Keyword(s):
2012 ◽
Vol 22
(05)
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pp. 1250046
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2005 ◽
Vol 54
(4)
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pp. 511-523
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1998 ◽
Vol 26
(2)
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pp. 601-612
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Keyword(s):
1984 ◽
Vol 96
(3)
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pp. 379-389
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Keyword(s):
Keyword(s):