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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10385332" target="_blank" >RIV/00216208:11320/18:10385332 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0001870818304389" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0001870818304389</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2018.10.044" target="_blank" >10.1016/j.aim.2018.10.044</a>

Result language
angličtina
Original language name
Derived representation theory of Lie algebras and stable homotopy categorification of sl_k
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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