Vector invariants for the two-dimensional modular representation of a cyclic group of prime order

DOI10.1016/j.aim.2010.03.018zbMath1198.13009arXiv0901.2811OpenAlexW2008436722MaRDI QIDQ990758

H. E. A. Campbell, David L. Wehlau, R. James Shank

Publication date: 1 September 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.2811

zbMATH Keywords

cyclic groupDyck pathsSAGBI basesmodular invariant theoryfirst main problem

Mathematics Subject Classification ID

Modular representations and characters (20C20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Actions of groups on commutative rings; invariant theory (13A50)

Related Items

Vector invariants of \(\mathsf{Syl}_p(\mathsf{GL}(n, \mathbb{F}_q))\) and their Hilbert ideals ⋮ Explicit separating invariants for cyclic \(P\)-groups. ⋮ On modular invariants of a vector and a covector ⋮ Coinvariants and the regular representation of a cyclic \(P\)-group ⋮ Quandle cocycles from invariant theory ⋮ On invariant fields of vectors and covectors ⋮ The second main theorem vector for the modular regular representation of \(C_2\) ⋮ Modular invariants of finite affine linear groups ⋮ Rings of invariants for modular representations of the Klein four group ⋮ Vector invariants for two-dimensional orthogonal groups over finite fields

Uses Software

• Magma

Cites Work

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