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arXiv · 1806.06971

A right-invariant lattice-order on groups of paraunitary matrices

Carsten Dietzel
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Abstract

In \cite{rump_goml}, Rump defined and characterized noncommutative universal groups $G(X)$ for generalized orthomodular lattices $X$. We give an explicit description of $G(X)$ in terms of \emph{paraunitary} matrix groups, whenever $X$ is the orthomodular lattice of subspaces of a finite-dimensional $k$-vector space $V$ that is equipped with an anisotropic, symmetric $k$-bilinear form.

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Carsten Dietzel. 2018-06-18. A right-invariant lattice-order on groups of paraunitary matrices. https://arxiv.org/abs/1806.06971

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