Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-05
J.Math.Phys. 47 (2006) 062303
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, uses harvmac,version 2 2 references added, minor typos corrected
Scientific paper
10.1063/1.2196241
A discussion of character formulae for positive energy unitary irreducible representations of the the conformal group is given, employing Verma modules and Weyl group reflections. Product formulae for various conformal group representations are found. These include generalisations of those found by Flato and Fronsdal for SO(3,2). In even dimensions the products for free representations split into two types depending on whether the dimension is divisible by four or not.
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