A right-invariant lattice-order on groups of paraunitary matrices
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Publication:1727708
DOI10.1016/j.jalgebra.2019.01.013zbMath1428.06002arXiv1806.06971OpenAlexW2964081135MaRDI QIDQ1727708
Publication date: 20 February 2019
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.06971
orthomodular latticeGarside groupanisotropic bilinear formparaunitary matrixright-invariant lattice-order
Braid groups; Artin groups (20F36) Complemented lattices, orthocomplemented lattices and posets (06C15) Ordered groups (06F15) Orthogonal matrices (15B10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Effect algebras and unsharp quantum logics.
- Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups
- The structure group of a generalized orthomodular lattice
- On an algebraic generalization of the quantum mechanical formalism
- Foundations of Garside theory
- Right \(l\)-groups, geometric Garside groups, and solutions of the quantum Yang-Baxter equation
- The logic of quantum mechanics
- The Burau Representation is Unitary
- Braid Groups
- ON THE IMAGE OF THE LAWRENCE–KRAMMER REPRESENTATION