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Langlands parameters for Heisenberg modules. (English) Zbl 1195.17020
Bernstein, Joseph (ed.) et al., Studies in Lie theory. Dedicated to A. Joseph on his sixtieth birthday. Basel: Birkhäuser (ISBN 0-8176-4342-7/hbk). Progress in Mathematics 243, 51-60 (2006).
Summary: We describe a “spectral decomposition” of the category of representations of a Heisenberg Lie algebra whose parameter space is the moduli space of the de Rham local systems for the dual torus on the formal punctured disc, and the fibers are equal to the category of representations of the (twisted) lattice Heisenberg algebra.
For the entire collection see [Zbl 1086.22001].

MSC:
17B69 Vertex operators; vertex operator algebras and related structures
14A20 Generalizations (algebraic spaces, stacks)
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