Quantum Groups and their Applications in Physics

This work focuses on quantum groups (that is, continuous deformations of Lie groups) and their applications in physics. Topics covered include: conformal field theories and quantum groups; gauge theories of quantum groups; anyons; differential calculus on quantum groups and non-commutative geometry; poisson algebras; two-dimensional statistical models, (2+1) quantum gravity; quantum groups and lattice physics; inhomogeneous q-groups; q-Poincare group and deformed gravity; and gauging of W-algebras.