t-ANALOGS OF q-CHARACTERS OF KIRILLOV-RESHETIKHIN MODULES OF QUANTM AFFINE ALGEBRAS
By H. Nakajima. 2002
157 citations recorded by the source corpus.
We prove the Kirillov-Reshetikhin conjecture concerning certain finite dimen- sional representations of a quantum affine algebraUq(bg) when b is an untwisted affine Lie algebra of type ADE. We use t-analog of q-characters introduced by the author in an essen- tial way.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/7e0ac23e4d644da617863aa97fad0fb079d99b41
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In Algebra and Number Theory
- Bernard Leclerc
- Masaki Kashiwara
- D. Hernandez
- H. Nakajima
- Vyjayanthi Chari
- Ghislain Fourier
- N. Nekrasov
- I. Reiten
In Geometry and Topology
- Masaki Kashiwara
- Bernard Leclerc
- H. Nakajima
- D. Hernandez
- Vyjayanthi Chari
- B. Keller
- Philipp Lampe
- Andrzej Skowronski
In Statistical and Nonlinear Physics
- Masaki Kashiwara
- Bernard Leclerc
- H. Nakajima
- D. Hernandez
- Philipp Lampe
- Mikhail Khovanov
- Vyjayanthi Chari
- Ghislain Fourier
Citations in the corpus
- Cluster algebras and representation theory (2010, background): “conjectured by Kuniba, Nakanishi and Suzuki [44], and proved by Nakajima [51] (see also [31] for the non simply-laced cases).”
- Level Zero Fundamental Representations over Quantized Affine Algebras and Demazure Modules (2003, background): “It is expected that there exists a “good” finite-dimensional U ′q(g)-module W (m̟k) with a multiple m̟k of a fundamental weight ̟k as an extremal weight.”
- t-Analogs of q-Characters of Quantum Affine Algebras of Type E6, E7, E8 (2006, background): “By the property (1) we call the monomial mP corresponding to the Drinfeld polynomial P l–highest weight monomial.”