Factorizations of relative extremal projectors
Charles H. Conley, Mark R. Sepanski
TL;DR
This paper surveys factorizations of extremal projectors and introduces new non-commutative factorizations for relative extremal projectors, specifically for sl(4) and sl(5).
Contribution
It presents the first known non-commutative factorizations of relative extremal projectors for specific Lie algebras, expanding the understanding of their algebraic structure.
Findings
Existence of non-commutative factorizations for sl(4) and sl(5)
Survey of previous results on extremal projector factorizations
Preliminary results indicating broader applicability
Abstract
We survey earlier results on factorizations of extremal projectors and relative extremal projectors and present preliminary results on non-commutative factorizations of relative extremal projectors: we deduce the existence of such factorizations for sl(4) and sl(5).
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