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Crystal bases and tensor product decompositions of \(U_ q(G_ 2)\)- modules. (English) Zbl 0808.17006

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)

MSC:

17B37 Quantum groups (quantized enveloping algebras) and related deformations

Citations:

Zbl 0808.17005
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