Kang, Seok-Jin; Misra, Kailash C. Crystal bases and tensor product decompositions of \(U_ q(G_ 2)\)- modules. (English) Zbl 0808.17006 J. Algebra 163, No. 3, 675-691 (1994). Using M. Kashiwara and T. Nakashima’s approach [J. Algebra 165, No. 2, 295-345 (1994; see the preceding review)], the authors give parametrizations of the crystal bases for all finite dimensional irreducible \(U_ q(G_ 2)\)-modules and obtain a combinatorial rule for the tensor product decomposition, which is easily accessible. Reviewer: H.Yamada (Tokyo) Cited in 1 ReviewCited in 27 Documents MSC: 17B37 Quantum groups (quantized enveloping algebras) and related deformations Keywords:crystal graph; crystal bases; irreducible \(U_ q(G_ 2)\)-modules; tensor product decomposition Citations:Zbl 0808.17005 PDFBibTeX XMLCite \textit{S.-J. Kang} and \textit{K. C. Misra}, J. Algebra 163, No. 3, 675--691 (1994; Zbl 0808.17006) Full Text: DOI