Affine Geometric Crystal of type $G^{(1)}_2$

Details Affine Geometric Crystal of type $G^{(1)}_2$ Affine Geometric Crystal of type $G^{(1)}_2$

2006-12-29

arxiv.org/abs/math/0612858v1

Mathematics

Quantum Algebra

14 pages

Scientific paper

We shall realize certain affine geometric crystal of type $G^{(1)}_2$
explicitly in the fundamental representation $W(\varpi_1)$. Its explicit form
is rather complicated but still keeps a positive structure.

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