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4 papers · 1 filter
Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations
Anatol N. Kirillov, Reiho Sakamoto
There are two distinct approaches to the study of initial value problem of the periodic box-ball systems. One way is the rigged configuration approach due to Kuniba--Takagi--Takeno…
Quiver Varieties and Branching
Hiraku Nakajima
Braverman and Finkelberg recently proposed the geometric Satake correspondence for the affine Kac-Moody group $G_\aff$ [Braverman A., Finkelberg M., arXiv:0711.2083]. They conjectu…
The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials
M. Kasatani, Y. Takeyama
We construct special solutions of the quantum Knizhnik-Zamolodchikov equation on the tensor product of the vector representation of the quantum algebra of type A_{N-1}. They are co…
Geometric construction of representations of affine algebras
Hiraku Nakajima
Let be a finite subgroup of $\SL_2(\C)$. We consider -fixed point sets in Hilbert schemes of points on the affine plane $\C^2$. The direct sum of homology groups of componen…