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Basic gerbe over non-simply connected compact groups. (English) Zbl 1067.22009
Summary: We present an explicit construction of the basic bundle gerbes with connection over all connected compact simple Lie groups. These are geometric objects that appear naturally in the Lagrangian approach to the WZW conformal field theories. Our work extends the recent construction of E. Meinrenken [Enseign. Math. (2) 49, 307–333 (2003; Zbl 1061.53034)] restricted to the case of simply connected groups.

MSC:
22E70 Applications of Lie groups to the sciences; explicit representations
Keywords:
Lie groups; Gerbes
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