3 citations · 7 across the 4 of their papers we have counts for
6 papers
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.…
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,…
Bidiagonal pairs, the Lie algebra sl_2, and the quantum group U_q(sl_2)
Darren Funk-Neubauer
We introduce a linear algebraic object called a bidiagonal pair. Roughly speaking, a bidiagonal pair is a pair of diagonalizable linear transformations on a finite-dimensional vect…
On the simplicity of Lie algebras associated to Leavitt algebras
Gene Abrams, Darren Funk-Neubauer
For any field $\K$ and integer we consider the Leavitt algebra $L_\K(n)$; for any integer we form the matrix ring $S = M_d(L_\K(n))$. is an associative alge…
Tridiagonal pairs and the q-tetrahedron algebra
Darren Funk-Neubauer
In this paper we further develop the connection between tridiagonal pairs and the q-tetrahedron algebra . Let V denote a finite dimensional vector space over an algebr…
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…