题目:Centers of Hecke algebras and ring of symmetric functions
时间:2012年6月25日(周一)16:30-17:30
We introduce a commutative associative algebra structure on
the direct sum Z of the centers of the Hecke algebras associated
to the symmetric groups in n letters for all n.
As a natural deformation of the classical construction of Frobenius, we
establish an algebra isomorphism from Z to the ring
of symmetric functions. This isomorphism gives rise to a characteristic map
for Hecke algebras. This is joint work with Jinkui Wan (Beijing).