Semigroups of \(sl_3(\mathbb C)\) tensor product invariants

DOI10.1016/j.jalgebra.2013.11.006zbMath1298.17013arXiv1206.2529OpenAlexW2408970639MaRDI QIDQ405822

Christopher Manon, Zhengyuan Zhou

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2529

zbMATH Keywords

presentationdecompositionsemigrouptorusinvarianttensor product

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Free semigroups, generators and relations, word problems (20M05)

Related Items (6)

Formulas for calculating the \(3j\)-symbols of the representations of the Lie algebra \({\mathfrak{gl}}_3\) for the Gelfand-Tsetlin bases ⋮ The algebra of \(\mathrm{SL}_3(\mathbb{C})\) conformal blocks ⋮ Conformal blocks, Berenstein-Zelevinsky triangles, and group-based models ⋮ Newton-Okounkov polyhedra for character varieties and configuration spaces ⋮ Khovanskii Bases, Higher Rank Valuations, and Tropical Geometry ⋮ Tropical geometry and Newton–Okounkov cones for Grassmannian of planes from compactifications

Uses Software

• 4ti2

Cites Work

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• The combinatorics of quiver representations.
• The equations for the moduli space of \(n\) points on the line
• Tensor product multiplicities, canonical and totally positive varieties
• Canonical bases for the quantum group of type \(A_r\) and piecewise-linear combinatorics
• The honeycomb model of 𝐺𝐿_{𝑛}(ℂ) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone
• The tropical Grassmannian

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