Vol. 254, No. 2, 2011

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Structurable algebras of skew-rank 1 over the affine plane

Susanne Pumplün

Vol. 254 (2011), No. 2, 361–380
Abstract

Let k be a field of characteristic not 2 or 3. Infinitely many mutually nonisomorphic structurable algebras of rank 20 over k[X,Y ] are constructed whose fiber is a given structurable algebra over k of skew-rank 1.

Keywords
structurable algebra, Jordan algebra, affine plane, principal bundle
Mathematical Subject Classification 2010
Primary: 17C40
Milestones
Received: 15 December 2010
Revised: 5 December 2011
Accepted: 5 January 2012
Published: 27 February 2012
Authors
Susanne Pumplün
School of Mathematical Sciences
University of Nottingham
University Park
Nottingham  NG7 2RD
United Kingdom