isometry class

[ī′säm·ə·trē ‚klas]

(mathematics)

A set consisting of all bilinear forms (on vector spaces over a given field) which are isometric to a given form.

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References in periodicals archive ?

Consider [Herm.sup.-1.sub.1] (Q, [gamma]) as a pointed set with the isometry class of <[lambda]> as distinguished point.

We denote by [Herm.sup.[epsilon].sub.n] ([DELTA], [sigma]) the set of isometry classes of regular n-dimensional [epsilon]-hermitian forms over ([DELTA], [sigma]).

The orthogonal u-invariant of a quaternion algebra

We therefore study some related geometric properties of these polytopes such as their pairs of parallel facets, their common vertices with the permutahedron, and their isometry classes. Further topics can be found in [Pil13].

ISOMETRY CLASSES. We say that two signed trees T and T' on signed ground sets V and V' respectively are isomorphic (resp.