Invariants, projection operators and SU(N)×SU(N) irreducible Schwinger bosons

DOI10.1063/1.3660195zbMath1272.81100arXiv1108.5246OpenAlexW3100788139MaRDI QIDQ2851774

Indrakshi Raychowdhury, T. P. Sreeraj, Manu Mathur

Publication date: 2 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5246

zbMATH Keywords

Clebsch-Gordan coefficientsirreducible components

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• Schwinger representation for the symmetric group:Two explicit constructions for the carrier space
• Models of representations of classical groups and their hidden symmetries
• Two oscillators in a dissipative bath
• Loop approach to lattice gauge theories
• On loop states in loop-quantum gravity
• Irreducible SU(3) Schwinger bosons
• An algebraic algorithm for calculating Clebsch–Gordan coefficients; application to SU(2) and SU(3)
• The Schwinger SU(3) construction. II. Relations between Heisenberg–Weyl and SU(3) coherent states
• SU (N) coherent states
• SU(N) irreducible Schwinger bosons
• On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in N Dimensions
• Bases for the Irreducible Representations of the Unitary Groups and Some Applications
• The Boson Calculus for the Orthogonal and Symplectic Groups

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