8 papers
Infinitely many two-variable generalisations of the Alexander-Conway polynomial
David De Wit, Atsushi Ishii, Jon Links
We show that the Alexander-Conway polynomial Delta is obtainable via a particular one-variable reduction of each two-variable Links-Gould invariant LG^{m,1}, where m is a positive…
A PBW commutator lemma for U_q[gl(m|n)]
David De Wit
We present and prove in detail a Poincare--Birkhoff--Witt commutator lemma for the quantum superalgebra U_q[gl(m|n)].
Automatic Construction of Explicit R Matrices for the One-Parameter Families of Irreducible Typical Highest Weight (0|α) Representations of U_q[gl(m|n)]
David De Wit
We detail the automatic construction of R matrices corresponding to (the tensor products of) the (0|α) families of highest-weight representations of the quantum superalgebras U_q[g…
Four Easy Pieces - Explicit R Matrices from the (\dot{0}_m|α) Highest Weight Representations of U_q[gl(m|1)]
David De Wit
We provide explicit presentations of members of a suite of R matrices arising from the (\dot{0}_m|α) representations of the quantum superalgebras U_q[gl(m|1)]. Our algorithm constr…
Partitioning Sparse Graphs using the Second Eigenvector of their Graph Laplacian
David De Wit
Partitioning a graph into three pieces, with two of them large and connected, and the third a small ``separator'' set, is useful for improving the performance of a number of combin…
Gauß Cubature for the Surface of the Unit Sphere
David De Wit
Gauß cubature (multidimensional numerical integration) rules are the natural generalisation of the 1D Gauß rules. They are optimal in the sense that they exactly integrate polynomi…