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Knitting ansatz and solutions to Yang - Baxter equation

H Yan-+ and J Zhang++

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LETTER TO THE EDITOR

We suggest a new method, named the knitting ansatz, to generate solutions to the Yang - Baxter equation with lower-dimensional representations of the braid group. To support our ansatz, we work out an example of a new -matrix constructed according to this idea, with two braid group representations of familiar 6-vertex type with different q-parameters.


PACS

02.10.Yn Matrix theory

02.10.Ud Linear algebra

02.20.-a Group theory

02.30.-f Function theory, analysis

MSC

17B69 Vertex operators; vertex operator algebras and related structures

15A18 Eigenvalues, singular values, and eigenvectors

20C35 Applications of group representations to physics

15A69 Multilinear algebra, tensor products

Subjects

Mathematical physics

Dates

Issue 16 (21 August 1996)

Received 30 April 1996



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