Flavor group Δ (3 n2)

Christoph Luhn; Salah Nasri; Pierre Ramond

doi:10.1063/1.2734865

Flavor group Δ (3 n2)

Christoph Luhn
, Salah Nasri
, Pierre Ramond

Research output: Contribution to journal › Article › peer-review

123 Citations (Scopus)

Abstract

The large neutrino mixing angles have generated interest in finite subgroups of SU(3), as clues towards understanding the flavor structure of the standard model. In this work, we study the mathematical structure of the simplest non-Abelian subgroup, Δ (3 n2). Using simple mathematical techniques, we derive its conjugacy classes and character table, and build its irreducible representations, their Kronecker products, and its invariants.

Original language	English
Article number	073501
Journal	Journal of Mathematical Physics
Volume	48
Issue number	7
DOIs	https://doi.org/10.1063/1.2734865
Publication status	Published - 2007
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.2734865

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author = "Christoph Luhn and Salah Nasri and Pierre Ramond",

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AU - Nasri, Salah

AU - Ramond, Pierre

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PY - 2007

Y1 - 2007

N2 - The large neutrino mixing angles have generated interest in finite subgroups of SU(3), as clues towards understanding the flavor structure of the standard model. In this work, we study the mathematical structure of the simplest non-Abelian subgroup, Δ (3 n2). Using simple mathematical techniques, we derive its conjugacy classes and character table, and build its irreducible representations, their Kronecker products, and its invariants.

AB - The large neutrino mixing angles have generated interest in finite subgroups of SU(3), as clues towards understanding the flavor structure of the standard model. In this work, we study the mathematical structure of the simplest non-Abelian subgroup, Δ (3 n2). Using simple mathematical techniques, we derive its conjugacy classes and character table, and build its irreducible representations, their Kronecker products, and its invariants.

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Flavor group Δ (3 n2)

Abstract

ASJC Scopus subject areas

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