In:
Journal of Mathematical Physics, AIP Publishing, Vol. 44, No. 3 ( 2003-03-01), p. 1276-1296
Abstract:
In this article, we give the general forms of the minimal L matrix (the elements of the L-matrix are c numbers) associated with the Boltzmann weights of the An−11 interaction-round-a-face (IRF) model and the minimal representation of the An−1 series elliptic quantum group given by Felder and Varchenko. The explicit dependence of elements of L-matrices on spectral parameter z are given. They are of five different forms [A(1-4) and B]. The algebra for the coefficients (which do not depend on z) are given. The algebra of form A is proved to be trivial, while that of form B obeys Yang–Baxter equation (YBE). We also give the PBW base and the centers for the algebra of form B.
Type of Medium:
Online Resource
ISSN:
0022-2488
,
1089-7658
Language:
English
Publisher:
AIP Publishing
Publication Date:
2003
detail.hit.zdb_id:
1472481-9
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