Explicit forms of cluster variables on double Bruhat cells Gu,e of type B

DOI10.1080/00927872.2016.1247453zbMath1378.13013arXiv1602.08587OpenAlexW3183404164MaRDI QIDQ4977646

Yuki Kanakubo

Publication date: 16 August 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08587

zbMATH Keywords

double Bruhat cellscluster algebrasgeneralized minors

Mathematics Subject Classification ID

Quantum groups (quantized function algebras) and their representations (20G42) Cluster algebras (13F60)

Cites Work

• Decorations on geometric crystals and monomial realizations of crystal bases for classical groups
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Tensor product multiplicities, canonical and totally positive varieties
• Cluster algebras. III: Upper bounds and double Bruhat cells.
• Explicit forms of cluster variables on double Bruhat cells \(G^{u,e}\) of type C
• Cluster algebras I: Foundations
• T-systems andY-systems in integrable systems
• Double Bruhat cells and total positivity

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