Reading @Qiaochu Yuan's blog the other day, I came across a new term: Poisson algebra. I had never heard of it before and wondered what other algebras are out there that I'm not aware of. Neither Wikipedia nor Google are of much help in this regard, since one can't regex google and Wikipedia has a rather paltry list of algebras.
Here are some algebras I'm familiar with:
- Boolean algebra
- Algebra of sets
- various group algebras
- Heyting algebra
- Flag algebra
- $\sigma$-algebras (OK, not really the same use of the word)
- Exterior algebra
What are some more algebras that I'm missing out on?