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math.RA2009
An algebra generated by two sets of mutually orthogonal idempotents
Tatsuro Ito, Paul Terwilliger
For a field and an integer , we consider the universal associative -algebra generated by two sets of mutually orthogonal idempotents. We display four base…
math.QA2009★ 1 cited
The -Onsager algebra
Tatsuro Ito, Paul Terwilliger
This article gives a summary of the finite-dimesional irreducible representations of the -Onsager algebra, which are treated in detail in our paper `The augmented tridiagonal al…
math.QA2009★ 15 cited
The augmented tridiagonal algebra
Tatsuro Ito, Paul Terwilliger
Motivated by investigations of the tridiagonal pairs of linear transformations, we introduce the augmented tridiagonal algebra . This is an infinite-dimensional ass…