Rings of invariants for modular representations of the Klein four group

Autor: Sezer, M., Shank, R. J.
Rok vydání: 2013
Předmět:
Zdroj: Trans. Amer. Math. Soc. 368 (2016), 5655-5673
Druh dokumentu: Working Paper
DOI: 10.1090/tran/6516
Popis: We study the rings of invariants for the indecomposable modular representations of the Klein four group. For each such representation we compute the Noether number and give minimal generating sets for the Hilbert ideal and the field of fractions. We observe that, with the exception of the regular representation, the Hilbert ideal for each of these representations is a complete intersection.
Comment: 22 pages, to appear in the Transactions of the American Mathematical Society
Databáze: arXiv