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6 relations: Borel–de Siebenthal theory, Glossary of Lie algebras, Linear algebraic group, Littelmann path model, Reductive group, Verma module.
Borel–de Siebenthal theory
In mathematics, Borel–de Siebenthal theory describes the closed connected subgroups of a compact Lie group that have maximal rank, i.e. contain a maximal torus.
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Glossary of Lie algebras
This is a glossary for the terminology applied in the mathematical theories of Lie algebras.
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Linear algebraic group
In mathematics, a linear algebraic group is a subgroup of the group of invertible n×n matrices (under matrix multiplication) that is defined by polynomial equations.
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Littelmann path model
In mathematics, the Littelmann path model is a combinatorial device due to Peter Littelmann for computing multiplicities without overcounting in the representation theory of symmetrisable Kac–Moody algebras.
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Reductive group
In mathematics, a reductive group is a type of linear algebraic group over a field.
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Verma module
Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics.
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Dominant weight, Fundamental system of roots.
References
[1] https://en.wikipedia.org/wiki/Glossary_of_semisimple_groups
