Topology Atlas | Conferences

Knots in Washington XVI; Conference on Knot Theory and its Ramifications
May 5-7, 2003
University of Maryland
College Park, MD, USA

Organizers
Marta M. Asaeda (UMD), William M. Goldman (UMD), John J. Millson (UMD), Jozef H. Przytycki (GWU)

Conference Homepage


Quantum subgroups, canonical basis, and boundary topological invariants
by
Adrian Ocneanu
PennState University

Topological quantum field theories with data given by Lie groups extend to the theories with boundary corresponding to subgroups of the original group. For quantum SU(N), N=2, 3,4, this quantum subgroups can be classified, using modular theory. This generalizes Coxeter ADE graphs. Quantum subgroups of SU(2) produce naturally canonical basis for the simple Lie groups. the other quantum subgroups produce new root and weight lattices.

Date received: May 1, 2003

Copyright © 2003 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # calc-13.