Monoidal categorification and quantum affine algebras

Masaki Kashiwara; Myungho Kim; Se Jin Oh; Euiyong Park

doi:10.1112/S0010437X20007137

Monoidal categorification and quantum affine algebras

Masaki Kashiwara
, Myungho Kim
, Se Jin Oh
, Euiyong Park

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

We introduce and investigate new invariants of pairs of modules M and N over quantum affine algebras U_q⁰(g) by analyzing their associated R-matrices. Using these new invariants, we provide a criterion for a monoidal category of finite-dimensional integrable U_q⁰(g)-modules to become a monoidal categorification of a cluster algebra.

Original language	English
Pages (from-to)	1039-1077
Number of pages	39
Journal	Compositio Mathematica
Volume	156
Issue number	5
DOIs	https://doi.org/10.1112/S0010437X20007137
State	Published - May 2020

Bibliographical note

Publisher Copyright:
© Foundation Compositio Mathematica 2020.

Keywords

R-matrices
cluster algebra
monoidal categorification
quantum affine algebra

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10.1112/S0010437X20007137

Cite this

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Monoidal categorification and quantum affine algebras

Abstract

Bibliographical note

Keywords

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