Saturday, 6 March 2010

invariant theory - Generalized symmetric algebras and Dickson algebras over mathbbFp.

Four quick references that contain substantial info on your questions (for more, it'd be good to know what exactly you would like to know...):



de Concini, C.; Procesi, C.
A characteristic free approach to invariant theory.
Advances in Math. 21 (1976), no. 3, 330--354.



Grosshans, F. D.
Vector invariants in arbitrary characteristic.
Transform. Groups 12 (2007), no. 3, 499--514.



Stepanov, S. A.
Vector invariants of symmetric groups in the case of a field of prime characteristic. Discrete Math. Appl. 10 (2000), no. 5, 455--468



Stepanov, Serguei A.
Orbit sums and modular vector invariants. Diophantine approximation, 381--412,
Dev. Math., 16, Vienna, 2008.

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