The Solution of the d-Dimensional Twisted Group Lattices
O. Lechtenfeld, S. Samuel
TL;DR
This paper solves the general d-dimensional twisted group lattice, constructs all irreducible representations explicitly, proves their completeness, and finds all matrix solutions to quantum hyperplane equations.
Contribution
It provides a complete solution to the representation theory of d-dimensional twisted group lattices and explicitly constructs all matrix solutions to related quantum hyperplane equations.
Findings
Explicit construction of irreducible representations
Proof of completeness of the representations
All matrix solutions to quantum hyperplane equations obtained
Abstract
The general d-dimensional twisted group lattice is solved. The irreducible representations of the corresponding group are constructed by an explicit procedure. It is proven that they are complete. All matrix representation solutions to the quantum hyperplane equations are obtained.
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