Difference equations for graded characters from quantum cluster algebra

DOI10.1007/s00031-018-9480-yzbMath1437.13034arXiv1505.01657OpenAlexW2963790366WikidataQ130161513 ScholiaQ130161513MaRDI QIDQ724196

Rinat Kedem, Philippe Di Francesco

Publication date: 25 July 2018

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01657

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Difference equations, scaling ((q)-differences) (39A13) Cluster algebras (13F60)

Related Items (7)

\((q,t)\)-characters of Kirillov-Reshetikhin modules of type \(A_r\) as quantum cluster variables ⋮ Kirillov-Reshetikhin crystals \(B^{1, s}\) for \(\widehat{\mathfrak{s}\mathfrak{l}}_n\) using Nakajima monomials ⋮ Macdonald duality and the proof of the quantum Q-system conjecture ⋮ Spectral analysis of an open \(q\)-difference Toda chain with two-sided boundary interactions on the finite integer lattice ⋮ Quantum Q systems: from cluster algebras to quantum current algebras ⋮ Blocks and vortices in the 3d ADHM quiver gauge theory ⋮ Macdonald operators and quantum Q-systems for classical types

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