32 citations · 78 across the 5 of their papers we have counts for
10 papers
Generalized Green functions and unipotent classes for finite reductive groups, I
Toshiaki Shoji
The algorithm of computing generalized Green functions of a finite reductive group contains some unkonwn scalars occuring from the F_q structure of irreducible local systems on uni…
Instanton counting on blowup. II. -theoretic partition function
Hiraku Nakajima, Kota Yoshioka
We study Nekrasov's deformed partition function of 5-dimensional supersymmetric Yang-Mills theory compactified on a circle. Mathematically it is the generating function of the char…
Lectures on Instanton Counting
Hiraku Nakajima, Kota Yoshioka
These notes have two parts. The first is a study of Nekrasov's deformed partition functions $Z(\ve_1,\ve_2,\vec{a};\q,\vecτ)$ of N=2 SUSY Yang-Mills theories, which are generating…
Crystal bases and two-sided cells of quantum affine algebras
Jonathan Beck, Hiraku Nakajima
Let $\g$ be an affine Kac-Moody Lie algebra. Let $\U^+$ be the positive part of the Drinfeld-Jimbo quantum enveloping algebra associated to $\g$. We construct a basis of $\U^+$ whi…
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…
t-analogs of q-characters of Kirillov-Reshetikhin modules of quantm affine algebras
Hiraku Nakajima
We prove the Kirillov-Reshetikhin conjecture concerning certain finite dimensional representations of a quantum affine algebra $\Ua$ when $\hat\g$ is an untwisted affine Lie algebr…