On the Computation of Clebsch–Gordan Coefficients and the Dilation Effect

DOI10.1080/10586458.2006.10128948zbMath1115.17005arXivmath/0501446OpenAlexW2006194525MaRDI QIDQ3413592

Jesús A. De Loera, Tyrrell B. McAllister

Publication date: 13 December 2006

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501446

zbMATH Keywords

polytopesLittlewood-Richardson coefficientsClebsch-Gordan coefficientssaturation theoremcomputational representation theorytensor product multiplications

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (14)

Rectangular Kronecker coefficients and plethysms in geometric complexity theory ⋮ On Horn's problem and its volume function ⋮ Geometric complexity theory. III: On deciding nonvanishing of a Littlewood-Richardson coefficient ⋮ Generalized Littlewood-Richardson coefficients for branching rules of \(\mathrm{GL}(n)\) and extremal weight crystals ⋮ Polytopes and Large Counterexamples ⋮ On the complexity of computing Kronecker coefficients ⋮ Chopped and sliced cones and representations of Kac-Moody algebras ⋮ Gelfand-Tsetlin polytopes and the integer decomposition property ⋮ Small Littlewood-Richardson coefficients ⋮ Existence of unimodular triangulations — positive results ⋮ Vanishing of Littlewood-Richardson polynomials is in P ⋮ Newell-Littlewood numbers ⋮ Generalized permutahedra and Schubert calculus ⋮ Stretched Newell-Littlewood coefficients

Uses Software

• LiE
• LattE
• TOPCOM
• ELIAS

This page was built for publication: On the Computation of Clebsch–Gordan Coefficients and the Dilation Effect