scientific article; zbMATH DE number 2005677

DOI10.1155/S1073792803209041zbMath1052.17005arXivmath/0208239MaRDI QIDQ4435794

Yasuhiko Yamada, Masato Okado, Taichiro Takagi, Atsuo Kuniba

Publication date: 18 November 2003

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208239

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

quantized enveloping algebra\(R\)-matrixKac-Moody algebraquantum affine algebrastringcrystalcanonical basisKashiwara operatorgeometric crystalcombinatorial \(R\)-matrixglobal crystal basistropical \(R\)-matrix

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (8)

Similarity and Kirillov-Schilling-Shimozono bijection ⋮ Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection ⋮ Affine geometric crystals and limit of perfect crystals ⋮ The geometric \(R\)-matrix for affine crystals of type \(A\) ⋮ Variations of theq-Garnier system ⋮ Tropical R maps and affine geometric crystals ⋮ Affine type \(A\) geometric crystal on the Grassmannian ⋮ Analysis of a particle antiparticle description of a soliton cellular automaton

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