Klein geometries of high order
Erc\"ument H. Orta\c{c}gil
TL;DR
This paper introduces a method to construct Klein geometries of arbitrarily high order using irreducible representations of semi-simple Lie algebras, expanding the mathematical framework of geometric structures.
Contribution
It presents a novel approach to building high-order Klein geometries through the application of semi-simple Lie algebra representations.
Findings
Successfully constructed high-order Klein geometries
Extended the mathematical understanding of geometric structures
Provided a new tool for geometric and algebraic research
Abstract
Using irreducible representations of semi simple Lie algebras, we construct Klein geometries of arbitrarily high order.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Advanced Algebra and Geometry