@article{oai:kanazawa-u.repo.nii.ac.jp:00010597, author = {伊藤, 達郎 and Ito, Tatsuro and Terwilliger, Paul M.}, issue = {1-3}, journal = {Ramanujan Journal}, month = {Jun}, note = {Let double-struck K denote an algebraically closed field and let q denote a nonzero scalar in double-struck K that is not a root of unity. Let V denote a vector space over double-struck K with finite positive dimension and let A, A* denote a tridiagonal pair on V. Let θ0, θ1,..., θd (resp. θ0*, θ1*,..., θd*) denote a standard ordering of the eigenvalues of A (resp. A*). We assume there exist nonzero scalars a, a* in double-struck K such that θi = aq 2i-d and θi* = a*qd-2i for 0 ≤ i ≤ d. We display two irreducible Uq(sl2)-module structures on V and discuss how these are related to the actions of A and A*. © 2006 Springer Science + Business Media, LLC.}, pages = {39--62}, title = {Tridiagonal pairs and the quantum affine algebra Uq(sl 2)}, volume = {13}, year = {2007} }