Spinor norms of local integral rotations. I
type: Item
instance of: scholarly article
title: Spinor norms of local integral rotations. I
zbMATH Open document ID: 0283.10009
author: J. S. Hsia
published in: Pacific Journal of Mathematics
publication date: 1975-01-01T00:00:00Z
review text: The spinor norms of integral rotations on a modular quadratic form over a local field are determined. Whenever possible, these results are expressed in convenient closed forms. Two key facts are used: (i) the O'Meara-Pollak theorem that the integral orthogonal group \(O(L)\) on a modular lattice \(L\) is almost always equal to the subgroup \(S(L)\) generated by the symmetries, and (ii) a duality lemma for non-square units by means of the quadratic defect function (see Lemma 3). For Part II (jointly with A. G. Earnest) see [Pac. J. Math. 61, 71--86 (1975; Zbl 0334.10012)].
Mathematics Subject Classification ID: 11E57
Mathematics Subject Classification ID: 11E16
zbMATH DE Number: 3443711
zbMATH Keywords: spinor norms of integral rotations
zbMATH Keywords: modular quadratic form
zbMATH Keywords: local field
MaRDI profile type: Publication
full work available at URL: pjm.1975.57.199
OpenAlex ID: W2065358305
DOI: 10.2140/PJM.1975.57.199
description: scientific article; zbMATH DE number 3443711