# nLab Weyl n-algebra

Contents

### Context

#### Higher algebra

higher algebra

universal algebra

## Theorems

#### Symplectic geometry

symplectic geometry

higher 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 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

Created on July 20, 2015 at 16:41:01. See the history of this page for a list of all contributions to it.