ISSN:
1573-0530
Keywords:
Yang-Baxter equation
;
quasi-Frobenius Lie algebra
;
quantum group.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract Boundary solutions to the quantum Yang–Baxter (qYB) equation are defined to be those in the boundary of (but not in) the variety of solutions to the ‘modified’ qYB equation, the latter being analogous to the modified classical Yang–Baxter (cYB) equation. We construct, for a large class of solutions r to the modified cYB equation, explicit ‘boundary quantizations’, i.e., boundary solutions to the qYB equation of the form I + tr + t2r2 +⋯. In the last section we list and give quantizations for all classical r-matrices in sl(3) ∧ sl(3).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007404917266
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