3 papers
math.RT2021
Bidiagonal Triads and the Tetrahedron Algebra
Darren Funk-Neubauer
We introduce a linear algebraic object called a bidiagonal triad. A bidiagonal triad is a modification of the previously studied and similarly defined concept of bidiagonal triple.…
math.RT2016
Bidiagonal Triples
Darren Funk-Neubauer
We introduce a linear algebraic object called a bidiagonal triple. A bidiagonal triple consists of three diagonalizable linear transformations on a finite-dimensional vector space,…
math.QA2005
Raising/lowering maps and modules for the quantum affine algebra
Darren Funk-Neubauer
Let V denote a finite dimensional vector space over an algebraically closed field. Let U_0, U_1,..., U_d denote a sequence of nonzero subspaces whose direct sum is V. Let R:V \to V…