Fermionic and bosonic representations for an extended affine Lie
algebra
Yun Gao, York
The Clifford (or Weyl) algebras have natural representations on the
exterior (or symmetric) algebras of polynomials over half of generators.
Those representations are also important in quantum and statistical
mechanics where the generators are interpreted as operators which create
or annihilate particles and satisfy Fermi (or Bose) statistics.
In this talk, I will present a model for the extended affine Lie algebra
over quantum tori via the fermionic (or bosonic) construction.