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Motivated by investigations of the tridiagonal pairs of linear transformations, we introduce the augmented tridiagonal algebra ${\mathcal T}_q$.
E. Bannai and T. Ito, Algebraic Combinatorics I: Association Schemes,
1984
Earlier work this paper cites.
Quantum affine algebras,
V. Chari and A. Pressley, · 1991
Earlier work this paper cites.
The subconstituent algebra of an association scheme I,
P. Terwilliger, · 1992
Earlier work this paper cites.
Some algebra related to P {P} - and Q {Q} -polynomial association schemes, in:
T. Ito, K. Tanabe, and P. Terwilliger, · 2001
Cited alongside, same era.
Two relations that generalize the q q -Serre relations and the Dolan-Grady relations,
P. Terwilliger, · 2001
Cited alongside, same era.
The shape of a tridiagonal pair,
T. Ito and P. Terwilliger, · 2004
Cited alongside, same era.
The Drinfel’d polynomial of a tridiagonal pair, preprint; arXiv:math.RA/0805.1465v1
T. Ito and P. Terwilliger,
Cited in the paper.
Tridiagonal pairs and the quantum affine algebra U q ( s l ^ 2 ) U_{q}({\widehat{sl}}_{2}) ,
T. Ito and P. Terwilliger, · 2007
Later among the works it cites.
The q q -tetrahedron algebra and its finite-dimensional irreducible modules,
T. Ito and P. Terwilliger, · 2007
Later among the works it cites.
Two non-nilpotent linear transformations that satisfy the cubic q q -Serre relations,
T. Ito and P. Terwilliger, · 2007
Later among the works it cites.
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