Nilpotence and descent in equivariant stable homotopy theory
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DOI: 10.1016/j.aim.2016.09.027
Abstract: Abstract Let G be a finite group and let F be a family of subgroups of G. We introduce a class of G-equivariant spectra that we call F -nilpotent. This definition fits into the general… read more here.
Keywords: theory; nilpotence descent; descent equivariant; equivariant stable ... See more keywords
Derived representation theory of Lie algebras and stable homotopy categorification of sl
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DOI: 10.1016/j.aim.2018.10.044
Abstract: 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… read more here.
Keywords: homotopy; stable homotopy; lie algebras; representation theory ... See more keywords
Motivic and real étale stable homotopy theory
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DOI: 10.1112/s0010437x17007710
Abstract: Let $S$ be a Noetherian scheme of finite dimension and denote by $\unicode[STIX]{x1D70C}\in [\unicode[STIX]{x1D7D9},\mathbb{G}_{m}]_{\mathbf{SH}(S)}$ the (additive inverse of the) morphism corresponding to $-1\in {\mathcal{O}}^{\times }(S)$ . Here $\mathbf{SH}(S)$ denotes the motivic stable homotopy category. We… read more here.
Keywords: stix x1d70c; real tale; unicode stix; stable homotopy ... See more keywords