Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416760 | Linear Algebra and its Applications | 2013 | 11 Pages |
Abstract
A new construction method of R-matrix is given. Let A be a Câ-bialgebra with a comultiplication Î without the assumption of the quasi-cocommutativity. For two states Ï and Ï of A which satisfy certain conditions, we construct a unitary R-matrix R(Ï,Ï) of the Câ-bialgebra (A,Î) on the tensor product of GNS representation spaces associated with Ï and Ï. The set {R(Ï,Ï):Ï,Ï} satisfies a kind of Yang-Baxter equation. Furthermore, we show a nontrivial example of such R-matrices for a non-quasi-cocommutative Câ-bialgebra.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Katsunori Kawamura,