Completeness of the \(3j\)-symbols for the group \(\mathrm{SL}(2, \mathbb{C} )\)

DOI10.1007/s10958-021-05493-1zbMath1482.22013OpenAlexW3197109496MaRDI QIDQ1979500

N. M. Belousov, Sergey E. Derkachov

Publication date: 3 September 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05493-1

zbMATH Keywords

unitary principal series representationsorthogonality relations, the decomposition of the tensor product of representationsrepresentations of the group \(\mathrm{SL}(2, \mathbb{C})\)

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Related Items (2)

The Gelfand–Tsetlin basis for infinite-dimensional representations of gln(C) ⋮ Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles

Cites Work

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• On Racah operators
• Infinite conformal symmetry in two-dimensional quantum field theory
• The \(6j\)-symbols for the \(SL(2,\mathbb{C})\) group
• Racah operators for principal series of representations of the group $ \mathrm {SL}(2,\mathbb C)$

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