ON SOME STANDARD GRADED ALGEBRAS IN MODULAR INVARIANT THEORY
2013 ◽
Vol 13
(01)
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pp. 1350080
Keyword(s):
For a finite-dimensional representation V of a finite group G over a field K we denote the graded algebra R ≔ ⨁d≥0 Rd; where Rd ≔ ( Sym d∣G∣V*)G. We study the standardness of R for the representations [Formula: see text], [Formula: see text], and [Formula: see text], where Vn denote the n-dimensional indecomposable representation of the cyclic group Cp over the Galois field 𝔽p, for a prime p. We also prove the standardness for the defining representation of all finite linear groups with polynomial rings of invariants. This is motivated by a question of projective normality raised in [S. S. Kannan, S. K. Pattanayak and P. Sardar, Projective normality of finite groups quotients, Proc. Amer. Math. Soc.137(3) (2009) 863–867].
2002 ◽
Vol 31
(9)
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pp. 513-553
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1966 ◽
Vol 27
(2)
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pp. 531-542
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2018 ◽
Vol 62
(1)
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pp. 291-304
2002 ◽
Vol 15
(5)
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pp. 527-532
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2014 ◽
Vol 150
(9)
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pp. 1579-1606
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1979 ◽
Vol 28
(3)
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pp. 321-324
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