Inverses of Cartan Matrices of Lie Algebras and Lie Superalgebra

Yangjiang Wei; Yi Ming Zou

Inverses of Cartan Matrices of Lie Algebras and Lie Superalgebra

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arxiv 1711.01294 v1 pith:37SXUSDX submitted 2017-11-03 math.RT

Yangjiang Wei , Yi Ming Zou This is my paper · ORCID

classification math.RT

keywords algebrascartaninversesmatricesbasicclassicalderiveexplicit

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We derive explicit formulas for the inverses of the Cartan matrices of the simple Lie algebras and the basic classical Lie superalgebras, as well as for their infinite generalizations.

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Atomic Higgsings of 6D SCFTs II: Induced Flows
hep-th 2025-01 conditional novelty 6.0 of 10

For 6d SCFTs, atomic endpoint-changing Higgsings (induced flows) are identified with induced nilpotent orbits, and an analogous induction of discrete E8 homomorphisms is physically defined for orbi-instanton theories.

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