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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

20 votes

Why is the exterior algebra so ubiquitous?

For me, the exterior algebra is the free polynomial algebra in anti-commutative variables. Of course, this begs the question, why do anti-commutative variables come up so much? As a homological alge …
Greg Muller's user avatar
4 votes

In which commutative algebras does any derivation possess a flow?

My guess is this is the kind of algebra you don't care about (since they aren't subrings of real-valued functions), but algebras of the form $\mathbb{R}[x]/x^n$ will have your property. When looking …
Greg Muller's user avatar