Invariants of binary bilinear forms modulo two

Smith, Larry; Stong, R.

doi:10.1090/S0002-9939-09-09944-4

Invariants of binary bilinear forms modulo two
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by Larry Smith and R. E. Stong PDF

Proc. Amer. Math. Soc. 138 (2010), 17-26 Request permission

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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