nLab Weyl n-algebra

Contents

Context

Higher algebra

Symplectic geometry

Contents

Idea

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

Definitions

Since ordinary Weyl algebras are universal enveloping algebras of Heisenberg Lie algebras of symplectic vector spaces (see here), and since there is a sensible notion of Heisenberg Lie n n -algebra for all nn \in \mathbb{N}, it makes sense to defines Weyl nn-algebras to be the universal enveloping E n E_n -algebras of Heisenberg Lie n n -algebras.

Another definition is considered by Markarian 2015.

References

Last revised on November 30, 2023 at 14:37:23. See the history of this page for a list of all contributions to it.