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arXiv math/06120872006-12-04math.QAmath-phmath.MPnlin.SI

Creation operators and algebraic Bethe ansatz for the elliptic quantum group $E_{τ,η}(so_3)$

Nenad Manojlovic, Zoltan Nagy

备注：: 13 pages
发表信息：: J. Phys. A: Math. Gen. 40 (2007) 4181-4191
DOI：: 10.1088/1751-8113/40/15/009

英文摘要：

We define the elliptic quantum group $E_{τ,η}(so_3)$ and the transfer matrix corresponding to its simplest highest weight representation. We use Bethe anstaz method to construct the creation operators as polynomials of the Lax matrix elements expressed through a recurrence relation. We give common eigenvectors and eigenvalues of the family of commuting transfer matrices.

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