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Invariants of binary bilinear forms modulo two
Authors:
Larry Smith and R. E. Stong
Journal:
Proc. Amer. Math. Soc. 138 (2010), 17-26
MSC (2000):
Primary 13A50
Posted:
August 19, 2009
MathSciNet review:
2550166
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Abstract: In this note we examine the invariant theory of binary bilinear forms over the field  of two elements that arises in the classification of standardly graded Poincaré duality algebras with two generators over the field  of two elements. We compute the corresponding ring of invariants and find separating invariants for the orbit space.
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Additional Information
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:
http://dx.doi.org/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
Article copyright:
© Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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