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Invariants of GLn(𝔽q) in polynomials modulo Frobenius powers

Part of: General commutative ring theory

Published online by Cambridge University Press:  05 July 2017

J. Lewis ,
V. Reiner  and
D. Stanton
J. Lewis
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA (jblewis@math.umn.edu; reiner@math.umn.edu; stanton@math.umn.edu)
V. Reiner
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA (jblewis@math.umn.edu; reiner@math.umn.edu; stanton@math.umn.edu)
D. Stanton
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA (jblewis@math.umn.edu; reiner@math.umn.edu; stanton@math.umn.edu)
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Extract

Conjectures are given for Hilbert series related to polynomial invariants of finite general linear groups: one for invariants mod Frobenius powers of the irrelevant ideal and one for cofixed spaces of polynomials.

Keywords

finite general linear groupFrobenius powerDickson invariantscofixeddivided power invariantscyclic sieving

MSC classification

Secondary: 13A50: Actions of groups on commutative rings; invariant theory
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 147 , Issue 4 , August 2017 , pp. 831 - 873
Copyright
Copyright © Royal Society of Edinburgh 2017 

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