Twisted Hochschild Homology of Quantum Flag Manifolds: 2-Cycles from Invariant Projections
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OriginalversjonMatassa M. Twisted Hochschild Homology of Quantum Flag Manifolds: 2-Cycles from Invariant Projections. Journal of Algebra and its Applications, DOI: https://doi.org/10.1142/S0219498821500365 https://dx.doi.org/10.1142/S0219498821500365
We study the twisted Hochschild homology of quantum full ag manifolds, with the twist being the modular automorphism of the Haar state. We show that non-trivial 2cycles can be constructed from appropriate invariant projections. Moreover we show that HHθ 2(Cq[G/T]) has dimension at least rank(g). We also discuss the case of generalized ag manifolds and present the example of the quantum Grassmannians.