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Mathematics



Research from Uppsala University provides new data on mathematics



January 24th, 2010

According to a study from Uppsala, Sweden, "This paper contains a categorification of the sl(k) link invariant using parabolic singular blocks of category O. Our approach is intended to be as elementary as possible, providing essentially combinatorial arguments for the main results of Sussan. The justification that our combinatorial arguments and steps are correct uses non-conibinatorial geometric and representation theoretic results (e.g., the Kazhdan-Lusztig and Soergel's theorems)."

"We take these results as granted and use them like axioms (called Facts in the text). We first construct an exact functor valued invariant of webs or ''special'' trivalent graphs labelled...

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Source: VerticalNews (2010-01-24)

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