@article{oai:kanazawa-u.repo.nii.ac.jp:00010098,
 author = {伊藤, 達郎 and Ito, Tatsuro and Terwilliger, Paul M.},
 issue = {2-3},
 journal = {Linear Algebra and Its Applications},
 month = {Oct},
 note = {As part of our study of the q-tetrahedron algebra {squared times}q we introduce the notion of a q-inverting pair. Roughly speaking, this is a pair of invertible semisimple linear transformations on a finite-dimensional vector space, each of which acts on the eigenspaces of the other according to a certain rule. Our main result is a bijection between the following two sets: (i) the isomorphism classes of finite-dimensional irreducible {squared times}q-modules of type 1; (ii) the isomorphism classes of q-inverting pairs. © 2007 Elsevier Inc. All rights reserved., 金沢大学大学院自然科学研究科計算科学, 金沢大学理学部},
 pages = {516--532},
 title = {q-Inverting pairs of linear transformations and the q-tetrahedron algebra},
 volume = {426},
 year = {2007}
}