DERIVED REPRESENTATION THEORY AND STABLE HOMOTOPY CATEGORIFICATION OF slk

نویسندگان

  • PO HU
  • Joshua Sussan
  • Robert Lipshitz
  • Sucharit Sarkar
چکیده

We set up foundations of representation theory over S, the stable sphere, which is the “initial ring” of stable homotopy theory. In particular, we treat S-Lie algebras and their representations, characters, gln(S)-Verma modules and their duals, HarishChandra pairs and Zuckermann functors. As an application, we construct a Khovanov slk-stable homotopy type with a large prime hypothesis, which is a new link invariant, using a stable homotopy analogue of the method of Sussan.

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تاریخ انتشار 2016