The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice (Q1589694)
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| Language | Label | Description | Also known as |
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| English | The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice |
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The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice (English)
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19 November 2002
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This paper is devoted to a detailed study of three basic and independent integrable reductions of the quadrilateral lattice: the symmetric lattice, the circular lattice, and the \(d\)-invariant lattice. Further the authors study the Egorov lattice which is, at the same time, symmetric, circular and \(d\)-invariant. All these reductions satisfy additional geometric properties that are compatible with the planarity constraint of the multidimensional quadrilateral lattice.
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integrable reductions
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quadrilateral lattice
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symmetric lattice
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circular lattice
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\(d\)-invariant lattice
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Egorov lattice
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planarity constraint
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multidimensional quadrilateral lattice
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