Singlets in the tensor product of an arbitrary number of Adjoint representations of SU(3)

2020/01/23 by Prarit Agarwal, Agarwal, Prarit, June Nahmgoong +1
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #FOS: Physical sciences #Group Theory (math.GR) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Representation Theory (math.RT) #hep-ph #hep-th #math.GR #math.RT

paper · pdf · doi:10.48550/arxiv.2001.10826

15 pages, 1 figure

arxiv created 2020/01/23 · openalex publication_date 2020/01/23 · arxiv updated 2020/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a set of 4 recurrence relations whose linear combination gives the number of group invariants, equivalently the dimension of the invariant subspace, in the tensor product of an arbitrary number of adjoint representations of the SU(3) Lie Group.

Related

• Useful relations among the generators in the defining and adjoint representations of SU(N)
• An asymptotic formula for the number of n-dimensional representations of SU(3)
• Geometric invariant decomposition of SU(3)
• Invariant Tensors for SU(3) with Adjoints
• Compact construction algorithms for the singlets of SU(N) over mixed tensor product spaces