A reduced Tits quadratic form and tameness of three-partite subamalgams of tiled orders期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

A reduced Tits quadratic form and tameness of three-partite subamalgams of tiled orders

Authors:	Daniel Simson

Institution:	Faculty of Mathematics and Informatics, Nicholas Copernicus University, ul. Chopina 12/18, 87-100 Torun, Poland

Abstract:	Let be a complete discrete valuation domain with the unique maximal ideal ${\mathfrak{p}}$ . We suppose that is an algebra over an algebraically closed field and $D/{\mathfrak{p}} \cong K$ . Subamalgam -suborders $\Lambda ^{\bullet }$ of a tiled -order $\Lambda$ are studied in the paper by means of the integral Tits quadratic form $q_{\Lambda ^{\bullet }}: {\mathbb{Z} }^{n_{1}+2n_{3}+2 } \,\,\longrightarrow {\mathbb{Z} }$ . A criterion for a subamalgam -order $\Lambda ^{\bullet }$ to be of tame lattice type is given in terms of the Tits quadratic form $q_{{\Lambda ^{\bullet }}}$ and a forbidden list $\Omega _{1},\ldots ,\Omega _{17}$ of minor -suborders of $\Lambda ^{\bullet }$ presented in the tables.

Keywords:

	点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文