Bruce W. Westbury's Home Page

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My research interests are in quantum groups and their applications to knots, 3-manifolds and conformal field theory. I am particularly interested in the Freudenthal magic square which gives a uniform construction of four of the five exceptional simple Lie algebras.
Here is the Vogel plane. The idea is that this should be thought of as a two-parameter family of Lie algebras which contains every simple Lie algebra. The three vertical lines are the three families of classical simple Lie algebras. The other two lines are the last two rows of the Freudenthal magic square.

The Vogel plane


\begin{pspicture}(1,-2)(12,20)
\pcline(1,-2)(12,20)
\pcline(1,-2)(1,20)
\pcline(...
...4,6){$\mathfrak{so}_{10}$}
\uput[180](4,7){$\mathfrak{so}_{11}$}
\end{pspicture}

The web page is maintained by me on these research topics. If you are looking for any other information then please contact me.