Integrality over fixed rings of automorphisms in a Lie nilpotent setting
| Autor: | Szigeti, Jeno |
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| Rok vydání: | 2015 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let R be a Lie nilpotent algebra of index k over a field K of characteristic zero. If G is an n-element subgroup of Aut(R) of the K-automorphisms, then we prove that R is right integral over Fix(G) of degree n^k. In the presence of a primitive n-th root of unity e in K, for a K-automorphism d in Aut(R) with d^n=id, we prove that the skew polynomial algebra R[w,d] is right integral of degree n^k over Fix(d)[w^n]. Comment: Overlap with arXiv:1409.2006 |
| Databáze: | arXiv |
| Externí odkaz: |
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