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Results tagged with higher-algebra
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user 39713
5
votes
Interpolating between the flat and smooth affine lines in spectral algebraic geometry
I believe there are no exterior algebras in sight. To see this, let us think through the $1$-categorical case carefully. We have a commutative ring $R$ and the ordinary category of $R$-modules $\mathr …
- 2,011
6
votes
Accepted
Is there a "spectral exterior algebra" construction in higher algebra?
Interesting question! I can't give a real answer, but here are some idle musings:
Note that one way to encode exterior powers is as $\Lambda^i_R(E) = \Sigma^{-i}(\mathrm{Sym}^i_R(\Sigma(E)))$ (since p …
- 2,011
10
votes
Accepted
Grading ring spectra over the sphere spectrum
One of the default examples of ordinary graded commutative rings is the polynomial ring $\mathbf Z[t]$. Let us first examine the analogue of that, and then see where else that leads!
1. $S$-grading on …
- 2,011