Concepedia

Cluster algebras and quantum affine algebras

Unknown author(s)

2009 · 182 citations · 44 references

Concepts

Abstract

Let C be the category of finite-dimensional representations of a quantum affine algebra Uq(̂g) of simply-laced type. We introduce certain monoidal subcategories Cℓ (ℓ ∈ N) of C

References

44

Cluster algebras I: Foundations

Sergey Fomin, Andrei Zelevinsky · Journal of the American Mathematical Society · 2001 · 1.7K citations · Full text

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Tilting theory and cluster combinatorics

Aslak Bakke Buan, Bethany Marsh, Markus Reineke et al. · Advances in Mathematics · 2005 · 944 citations

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Cluster algebras IV: Coefficients

Sergey Fomin, Andrei Zelevinsky · Compositio Mathematica · 2007 · 603 citations · Full text

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Cluster algebras II: Finite type classification

2003 · 584 citations

, , +9

Cluster algebras III: Upper bounds and double Bruhat cells

Arkady Berenstein, Sergey Fomin, Andrei Zelevinsky · Duke Mathematical Journal · 2005 · 581 citations

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