It claims a clean algebraic decomposition of the one-term Yang-Baxter homology for sl_m R-matrices, but the main eigenspace decomposition appears incorrect for small examples.
Lebed, Braided objects: unifying algebraic structures and categorifying virtual braids December 2012, Thesis (Ph.D.), Universit´ e Paris 7
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Homology of Yang-Baxter modules
It claims a clean algebraic decomposition of the one-term Yang-Baxter homology for sl_m R-matrices, but the main eigenspace decomposition appears incorrect for small examples.