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2019年11月28日

Graded quiver varieties and singularities of normalized R-matrices for fundamental modules

  • Ryo Fujita

We present a simple unified formula expressing the denominators of the
normalized R-matrices between the fundamental modules over the quantum loop
algebras of type ADE. It has an interpretation in terms of representations of
the Dynkin quivers and can be proved in a unified way using the geometry of
graded quiver varieties. As a by-product, we obtain a geometric interpretation
of Kang-Kashiwara-Kim's generalized quantum affine Schur-Weyl duality functor
when it arises from a family of fundamental modules. We also study several
cases when the graded quiver varieties are isomorphic to the graded nilpotent
orbits of type A.

リンク情報
arXiv
http://arxiv.org/abs/arXiv:1911.12693
Arxiv Url
http://arxiv.org/abs/1911.12693v3
Arxiv Url
http://arxiv.org/pdf/1911.12693v3 本文へのリンクあり

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