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 staff for sl2. the most categorification is acquired utilizing sure Harish-Chandra bimodules for the advanced Lie algebra gln. For the specific case of straightforward modules we evidently deduce a categorification through modules over the cohomology ring of convinced flag kinds. extra geometric categorifications and the relation to Steinberg kinds are discussed.We additionally provide a specific model of the quantised Schur-Weyl duality and an interpretation of the (dual) canonical bases and the (dual) common bases when it comes to projective, tilting, usual and straightforward Harish-Chandra bimodules.
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Extra info for A categorification of finite-dimensional irreducible representations of quantum sl2 and their tensor products
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