ELA, Volume 13, pp. 1-9, January 2005, abstract.
A Family of Tridiagonal Pairs Related to the
Quantum Affine Algebra U_q(\hat{sl_2})
Hasan Alnajjar and Brian Curtin
A type of tridiagonal pair is considered, said
to be mild of q-Serre type. It is shown that these
tridiagonal pairs induce the structure of a quantum
affine algebra U_q(\hat{sl_2})-module on their
underlying vector space. This is done by presenting
an explicit basis for the underlying vector space
and describing the U_q(\hat{sl_2})-action on that
basis.