Abstract
We study irreducible modules for map Heisenberg–Virasoro algebras. In particular, we give a complete classification of irreducible Harish–Chandra modules for map Heisenberg–Virasoro algebras. We will also classify non-weight irreducible modules for map Heisenberg–Virasoro algebras whose restriction on the degree zero part of the universal enveloping algebra of Witt algebra is free of rank 1.
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