Positive Energy Representations of the Loop Groups of Non Simply Connected Lie Groups

Details Positive Energy Representations of the Loop Groups of Non Simply Connected Lie Groups Positive Energy Representations of the Loop Groups of Non Simply Connected Lie Groups

2001-06-23

arxiv.org/abs/math/0106196v1

Communications in Mathematical Physics 207, 1999, 307-339

Mathematics

Quantum Algebra

Available from Springer Verlag at http://link.springer.de/

Scientific paper

10.1007/s002200050728

We classify and construct all irreducible positive energy representations of
the loop group of a compact, connected and simple Lie group and show that they
admit an intertwining action of Diff(S^{1}).

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