Cubic extentions of the Poincar\'e algebra
M. Rausch de Traubenberg
TL;DR
This paper systematically explores non-trivial cubic extensions of the four-dimensional Poincaré algebra, providing explicit examples using techniques like Young tableau and characters.
Contribution
It introduces new cubic extensions of the Poincaré algebra and demonstrates explicit constructions with various mathematical methods.
Findings
Explicit examples of cubic Poincaré extensions
Use of Young tableau and characters in constructions
Advancement in understanding algebraic extensions
Abstract
A systematic study of non-trivial cubic extensions of the four-dimensional Poincar\'e algebra is undertaken. Explicit examples are given with various techniques (Young tableau, characters etc).
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