Representations of Semi-direct Products

Peter Woit ()
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Peter Woit: Columbia University, Department of Mathematics

Chapter Chapter 20 in Quantum Theory, Groups and Representations, 2017, pp 259-273 from Springer

Abstract: Abstract In this chapter, we will examine some aspects of representations of semi-direct products, in particular for the case of the Jacobi group and its Lie algebra, as well as the case of $$N\rtimes K$$ , for N commutative. The latter case includes the Euclidean groups E(d), as well as the Poincaré group which will come into play once we introduce special relativity.

Keywords: Semi-direct Product; Jacobi Group; Euclidean Group; Intertwining Operator; Double Cover (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-64612-1_20

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DOI: 10.1007/978-3-319-64612-1_20

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