Witt group


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Witt group

[′wit ‚grüp]
(mathematics)
The group of isometry classes of symmetric forms on vector spaces over a given field, where the product of two such forms is given by their orthogonal sum.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The Envision Witt group offered their congratulations to the new business and encouraged Witt residents to visit.
He had moved to Cornwall when he was three, but had recently moved back to the Calderdale area having started an engineering apprenticeship at Kirklees College's engineering centre, off St Andrew's Road, and Fan Systems Group Ltd (Witt Group UK) in Halifax.
In this context, a natural question arises: is it possible to obtain such criteria for the Witt group of a central simple algebra with involution ?
Next, we consider the case of the Witt group of a quaternion division algebra endowed with its canonical involution.
2.3 The Witt group of a division algebra with involution
The Witt group of (D,[sigma]) is the quotient group of the Grothendieck group of this commutative monoid by the subgroup generated by hyperbolic forms and is denoted by W (D,[sigma]).
In this Section, we prove isomorphy criteria for the Witt group of a quadratic field extension with its nontrivial automorphism and for the Witt group of a quaternion division algebra with its canonical involution, in analogy with Theorem 1.1.
Some of the Envision Witt group met on Monday, June 17 at the Witt United Methodist Church to proceed with the Second Annual Clean Up Witt Day.
On Monday April 15 the Envision Witt group held their regular meeting at the Witt United Methodist Church.
In July of 2018 the Envision Witt group gave the outside of the library a face-lift with a coat of paint.
On Saturday July 28 there were around 20 people from the Envision Witt group and the local community who met at the Witt Memorial Library to give it a facelift with a fresh coat of paint.
The First Presbyterian Church Witt and the Envision Witt group are sponsoring a free Summer Breakaway program to all K-5 students from the Witt and Nokomis areas.