arxiv: 1907.01398 · v1 · pith:52QEEUBXnew · submitted 2019-07-02 · 🧮 math.RT

Computing the real Weyl group

Heiko Dietrich , Willem A. de Graaf This is my paper

classification 🧮 math.RT

keywords realgroupweylsemisimplealgebraalgebrasapplicationsassociated

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Let g be a semisimple Lie algebra over the real numbers. We describe an explicit combinatorial construction of the real Weyl group of g with respect to a given Cartan subalgebra. An efficient computation of this Weyl group is important for the classification of regular semisimple subalgebras, real carrier algebras, and real nilpotent orbits associated with g; the latter have various applications in theoretical physics.

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Computing the real Weyl group

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