A Krull-Schmdit type theorem for coherent sheaves
2014 ◽
Vol 22
(2)
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pp. 51-56
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AbstractLet X be projective variety over an algebraically closed field k and G be a finite group with g.c.d.(char(k), |G|) = 1. We prove that any representations of G on a coherent sheaf, ρ : G → End(ℰ), has a natural decomposition ℰ ≃ ⊕ V ⊗k ℱV, where G acts trivially on ℱV and the sum run over all irreducible representations of G over k.
1995 ◽
Vol 47
(5)
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pp. 929-945
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1982 ◽
Vol 92
(2)
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pp. 221-229
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1979 ◽
Vol 28
(3)
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pp. 321-324
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1969 ◽
Vol 9
(1-2)
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pp. 109-123
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1963 ◽
Vol 15
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pp. 605-612
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2012 ◽
Vol 56
(1)
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pp. 49-56
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2021 ◽
Vol 14
(3)
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pp. 816-828
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