Under a division condition, tangential CR cohomology on compact Lie groups with left-invariant CR structures is finite-dimensional and computable on maximal tori, with necessity shown for a class of structures.
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Cohomology of CR structures on compact Lie groups
Under a division condition, tangential CR cohomology on compact Lie groups with left-invariant CR structures is finite-dimensional and computable on maximal tori, with necessity shown for a class of structures.