Abstract

We study the twisted Hochschild homology of quantum full flag manifolds, with the twist being the modular automorphism of the Haar state. We show that nontrivial [Formula: see text]-cycles can be constructed from appropriate invariant projections. Moreover, we show that [Formula: see text] has dimension at least rank [Formula: see text]. We also discuss the case of generalized flag manifolds and present the example of the quantum Grassmannians.

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