GIOVEDI' 18
NOVEMBRE 2010
SEMINARIO
16:15-18:00, Sala Seminari (Dip.
Matematica)
Cubic Hecke Algebra
Ivan Marin (Institut de Mathématiques de
Jussieu)
Abstract:
The classical link invariants known as the
Alexander, Jones
and Homfly polynomials come from a quadratic
finite-dimensional quotient
of the group algebra of the braid group, known as
the Iwahori-Hecke
algebra of type A. The Kauffman polynomial comes from
a
finite-dimensional cubic quotient of this group algebra. In 1995,
L.
Funar proposed another finite-dimensional cubic quotient of this
group
algebra, as the seed for a new link invariant. We prove that
this
quotient actually collapses over a field of characteristic 0, but on
the
contrary is very large over a field of characteristic 2, thus
raising
new questions about this mysterious quotient. This is joint work
with
Marc Cabanes.
Liviana
Paoletti
Segreteria Scientifica
Dipartimento di
Matematica
"L. Tonelli" Universita' di Pisa
tel.
0502213251
e-mail paoletti@dm.unipi.it