Representations of U(N)

Ambar N. Sengupta ()
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Ambar N. Sengupta: Louisiana State University, Department of Mathematics

Chapter Chapter 11 in Representing Finite Groups, 2012, pp 281-300 from Springer

Abstract: Abstract The unitary group U(N) consists of all N ×N complex matrices U that satisfy the unitarity condition $${U}^{{_\ast}}U = I.$$ It is a group under matrix multiplication, and, being a subset of the linear space of all N ×N complex matrices, it is a topological space as well. Multiplication of matrices is, clearly, continuous.

Keywords: Irreducible Representation; Finite Group; Diagonal Entry; Irreducible Character; Vandermonde Determinant (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-1231-1_11

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