By Igor Frenkel, Mikhail Khovanov, Catharina Stroppel
The aim of this paper is to check categorifications of tensor items of finite-dimensional modules for the quantum team for sl2. the most categorification is got utilizing convinced Harish-Chandra bimodules for the advanced Lie algebra gln. For the exact case of easy modules we clearly deduce a categorification through modules over the cohomology ring of sure flag kinds. extra geometric categorifications and the relation to Steinberg forms are discussed.We additionally supply a specific model of the quantised Schur-Weyl duality and an interpretation of the (dual) canonical bases and the (dual) average bases when it comes to projective, tilting, ordinary and easy Harish-Chandra bimodules.
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