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math.RA2026
Finite-dimensional Lie subalgebras of the universal enveloping algebra of
Tim Heib
In this work we provide the complete classification of all non-zero finite-dimensional complex Lie subalgebras of the universal enveloping algebra of the special linear Lie algebra…
quant-ph2026
Universality from Quadratic Angular-Momentum Operations: Exact Dynamical Lie Algebras and the Role of the Casimir Obstruction
Tim Heib, Pérola Milman
Universality relies on combining operators with different algebraic properties, which depend on the physical structure of the Hilbert space encoding the information. Systems of ide…
math-ph2026
On the structural properties of Lie algebras via associated labeled directed graphs
Tim Heib, David Edward Bruschi
We present a method for associating labeled directed graphs to finite-dimensional Lie algebras that are -. The proposed framework enables visual identification o…