Research Institute for Mathematical Sciences, Kyoto University

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19912020

most citedTopological Lattice Models in Four Dimensions

382 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2019 · math.RTShow all

4 papers · 2 filters

math.RT2019★ 10 cited

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 i…

math.RT2019★ 37 cited

Monoidal categorification and quantum affine algebras

Masaki Kashiwara, Myungho Kim, Se-jin Oh +1

We introduce and investigate new invariants on the pair of modules $M$ and $N$ over quantum affine algebras $U_{q}^{'} (g)$ by analyzing their associated R-matrices. From new…

math.RT2019★ 5 cited

Stability and Indecomposability of the Representations of Quivers of $A_{n}$ -type

Pengfei Huang, Zhi Hu

In his paper \cite{MR1}, Markus Reineke proposed a conjecture that there exists a stable weight system $Θ$ for every indecomposable representation of Dynkin type quiver. In this pa…

math.RT2019★ 12 cited

Cluster realizations of Weyl groups and higher Teichmüller theory

Rei Inoue, Tsukasa Ishibashi, Hironori Oya

For a symmetrizable Kac-Moody Lie algebra $g$ , we construct a family of weighted quivers $Q_{m} (g)$ ( $m \geq 2$ ) whose cluster modular group $Γ_{Q_m(\mathfrak{g…

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

Monoidal categorification and quantum affine algebras

Stability and Indecomposability of the Representations of Quivers of An​-type

Cluster realizations of Weyl groups and higher Teichmüller theory

Stability and Indecomposability of the Representations of Quivers of $A_{n}$ -type