J. Patera, R. T. Sharp
Abstract
The signature S of a finite-dimensional representation of SU( p,q) is the difference between the number of positive and negative signs in the bilinear invariant in its diagonal form. An expression for S is derived starting from the Weyl character formula for U( p,q) representations.
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The signature S of a finite-dimensional representation of SU( p,q) is the difference between the number of positive and negative signs in the bilinear invariant in its diagonal form. An expression for S is derived starting from the Weyl character formula for U( p,q) representations.
Key concepts: Diagonal, Mathematics, Signature (topology), Invariant (physics), Character (mathematics), Bilinear interpolation, Mathematical physics, Pure mathematics