Derived representation theory of Lie algebras and stable homotopy categorification of $sl_k$

24 Oct 2018 Hu Po Kriz Igor Somberg Petr

We set up foundations of representation theory over $S$, the sphere spectrum, which is the `initial ring' of stable homotopy theory. In particular, we treat $S$-Lie algebras and their representations, characters, $gl_n(S)$-Verma modules and their duals, Harish-Chandra pairs and Zuckermann functors... (read more)

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Categories


  • ALGEBRAIC TOPOLOGY
  • CATEGORY THEORY
  • GEOMETRIC TOPOLOGY