A categorification of finite-dimensional irreducible by Igor Frenkel, Mikhail Khovanov, Catharina Stroppel PDF

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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