# Universal averages in gauge actions

@article{Lawrence2019UniversalAI, title={Universal averages in gauge actions}, author={R. Lawrence and M. Siboni}, journal={arXiv: Quantum Algebra}, year={2019} }

We give a construction of a universal average of Lie algebra elements whose exponentiation gives (when there is an associated Lie group) a totally symmetric geometric mean of Lie group elements (sufficiently closed to the identity) with the property that in an action of the group on a space $X$ for which $n$ elements all take a particular point $a\in{}X$ to a common point $b\in{}X$, also the mean will take $a$ to $b$. The construction holds without the necessity for the existence of a Lie group… Expand

#### One Citation

Explicit symmetric DGLA models of 3-cells

- Mathematics
- Canadian Mathematical Bulletin
- 2020

Abstract We give explicit formulae for differential graded Lie algebra (DGLA) models of
$3$
-cells. In particular, for a cube and an
$n$
-faceted banana-shaped
$3$
-cell with two vertices,
$n$… Expand

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