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arXiv · 1403.2916

Commutative subalgebras of the Grassmann algebra

M. Domokos·M. Zubor
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Abstract

The maximal dimension of a commutative subalgebra of the Grassmann algebra is determined. It is shown that for any commutative subalgebra there exists a commutative subalgebra which is spanned by monomials and has the same dimension. It follows that the maximal dimension of a commutative subalgebra can be expressed in terms of the maximal size of an intersecting system of subsets of odd size in a finite set.

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M. Domokos, M. Zubor. 2014-03-12. Commutative subalgebras of the Grassmann algebra. https://arxiv.org/abs/1403.2916

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