M. Kashiwara

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19982012

most citedPerfect Crystals for U_q(D_4^{(3)})

39 citations · 46 across the 12 of their papers we have counts for

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Showing 2003 · math.QAShow all

2 papers · 2 filters

math.QA2003

A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra U_q(sl_{2}^)

B. Feigin, M. Jimbo, M. Kashiwara +3

Let $V (Λ_{i})$ (resp., $V (- Λ_{j})$ ) be a fundamental integrable highest (resp., lowest) weight module of $U_{q} (s l^_{2})$ . The tensor product $V (Λ_{i}) \otimes V (- Λ_{j})$ is filtered by…

math.QA2003

Crystal Bases for Quantum Generalized Kac-Moody Algebras

Kyeonghoon Jeong, Seok-Jin Kang, Masaki Kashiwara

In this paper, we develop the crystal basis theory for quantum generalized Kac-Moody algebras. For a quantum generalized Kac-Moody algebra $U_{q} (g)$ , we first introduce th…