Semigroups of $s{l}_3(\mathbb{C})$ tensor product invariants

Abstract

We compute presentations for a family of semigroup algebras related to the problem of decomposing $s{l}_3(\mathbb{C})$ tensor products. Along the way we find new toric degenerations of the Grassmannian variety $G{r}_3({\mathbb{C}}^n)$ which $T-$invariant for $T\subset G{L}_n(\mathbb{C})$ the diagonal torus.

12 pages, 13 figures

References in corpus (2)

• The projective invariants of ordered points on the line
• Toric Degenerations and tropical geometry of branching algebras

Cited by in corpus (3)

• $3j$-symbols for representation of the Lie algebra ${\mathfrak{gl}}_3$ in the Gelfand-Tselin base
• Conformal blocks, Berenstein-Zelevinsky triangles and group-based models
• Calculation of $6j$-symbols for the Lie algebra ${\mathfrak{gl}}_n$