NDLI: Monoidal categorification and quantum affine algebras

Content Provider	Scilit
Author	Kashiwara, Masaki Kim, Myung Ho Oh, Se-Jin Park, Euiyong
Copyright Year	2020
Description	Journal: Compositio Mathematica We introduce and investigate new invariants of pairs of modules $M$ and $N$ over quantum affine algebras $U_{q}^{\prime }(\mathfrak{g})$ by analyzing their associated $R$-matrices. Using these new invariants, we provide a criterion for a monoidal category of finite-dimensional integrable $U_{q}^{\prime }(\mathfrak{g})$-modules to become a monoidal categorification of a cluster algebra.
Ending Page	1077
Starting Page	1039
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x20007137
Journal	Compositio Mathematica
Issue Number	5
Volume Number	156
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2020-04-27
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Mathematical Physics Affine Algebras Quantum Affine Monoidal Categorification
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Monoidal categorification and quantum affine algebras