nLab Weyl n-algebra

Idea

A concept of Weyl n-algebra is to be a refinement to higher algebra of the concept of Weyl algebra.

Definitions

Since a traditional Weyl algebra is a universal enveloping algebra of a Heisenberg Lie algebra of a symplectic vector space, and since there is a sensible notion of Heisenberg Lie n-algebra, one may go and defne a Weyl n-algebra to be a universal enveloping E-n algebra of a Heisenberg Lie n-algebra.

Another definition is considered in (Markarian 15).

References

• Nikita Markarian, Weyl $n$-algebras (arXiv:1504.01931)