Corpus ID: 207852468

# 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}
}
• Published 2019
• Mathematics
• arXiv: Quantum Algebra
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
1 Citations
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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