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arxiv: 1206.2529 · v2 · pith:QZ5EIEP5new · submitted 2012-06-12 · 🧮 math.AG

Semigroups of sl₃(mathbb{C}) tensor product invariants

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keywords mathbbtensoralgebrasalongcomputedecomposingdegenerationsdiagonal
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We compute presentations for a family of semigroup algebras related to the problem of decomposing $sl_3(\mathbb{C})$ tensor products. Along the way we find new toric degenerations of the Grassmannian variety $Gr_3(\mathbb{C}^n)$ which $T-$invariant for $T \subset GL_n(\mathbb{C})$ the diagonal torus.

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