Proceedings of the American Mathematical Society

Author(s): Larry Smith; R. E. Stong
Journal: Proc. Amer. Math. Soc. 138 (2010), 17-26.
MSC (2000): Primary 13A50
Posted: August 19, 2009
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Abstract: In this note we examine the invariant theory of binary bilinear forms over the field ${\mathbb{F}}_2$ of two elements that arises in the classification of standardly graded Poincaré duality algebras with two generators over the field ${\mathbb{F}}_2$ of two elements. We compute the corresponding ring of invariants and find separating invariants for the orbit space.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 13A50

Larry Smith
Affiliation: AG-Invariantentheorie, Mittelweg 3, D-37133 Friedland, Federal Republic of Germany

R. E. Stong
Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904-4137

DOI: 10.1090/S0002-9939-09-09944-4
PII: S 0002-9939(09)09944-4
Keywords: Invariant theory, Poincar\'e duality algebras, bilinear forms in characteristic two.
Received by editor(s): July 21, 2008,
Received by editor(s) in revised form: February 19, 2009
Posted: August 19, 2009
Communicated by: Bernd Ulrich
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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