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arXiv · 1910.08307

Monoidal categorification and quantum affine algebras

Masaki Kashiwara·Myungho Kim·Se-jin Oh·Euiyong Park
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Abstract

We introduce and investigate new invariants on the pair of modules $M$ and $N$ over quantum affine algebras $U_q'(\mathfrak{g})$ by analyzing their associated R-matrices. From new invariants, we provide a criterion for a monoidal category of finite-dimensional integrable $U_q'(\mathfrak{g})$-modules to become a monoidal categorification of a cluster algebra.

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BibTeXRIS

Masaki Kashiwara, Myungho Kim, Se-jin Oh, Euiyong Park. 2019-10-18. Monoidal categorification and quantum affine algebras. https://doi.org/10.1112/s0010437x20007137

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