宮地 兵衛 (名大多元数理)
タイトル: Canonical bases and Macdonald polynomials
アブストラクト:
I would like to talk about some connections between dual canonical
bases in level 1 Fock space and Macdonald polynomials
following a paper due to J.Beck, I.B.Frenkel and N.Jing and
lectures due to B.Leclerc at the Isaac Newton Institue.
Here, we regard Fock space as a $U_q$-module where $U_q$
is a quantum group of type $A_{e-1}^{(1)}$.
Moreover, we need suitable choices of $p$ and
$t$ in Macdonald polynomials. ($t=q^{-2},p=q^{-2n}$.)