Hilbert Functions of $\mathfrak S_n$-Stable Artinian Gorenstein Algebras

Autor:	Geramita, Anthony V., Hoefel, Andrew H., Wehlau, David L.
Rok vydání:	2014
Předmět:	Mathematics - Commutative Algebra 13D40 05E10
Druh dokumentu:	Working Paper
Popis:	We describe the graded characters and Hilbert functions of certain graded artinian Gorenstein quotients of the polynomial ring which are also representations of the symmetric group. Specifically, we look at those algebras whose socles are trivial representations and whose principal apolar submodules are generated by the sum of the orbit of a power of a linear form. Comment: Changed the final word in the title. Extended the statement and proof of Proposition 14. 20 pages long
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1407.7228 Zobrazit plný text záznamu View this record from Arxiv