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

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 نشر من قبل Igor Kriz
 تاريخ النشر 2018
  مجال البحث
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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. As an application, we construct a Khovanov $sl_k$-stable homotopy type with a large prime hypothesis, which is a new link invariant, using a stable homotopy analogue of the method of J.Sussan.



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