Journal of Lie Theory

no. 3
Invariant Theory of Little Adjoint Modules
Dmitri I. Panyushev1
1Institute for Information Transmission Problems, Russian Academy of Sciences, B. Karetnyi per. 19, Moscow 127994, Russia
Journal of Lie Theory, Volume 22 (2012) no. 3, pp. 803-816
Let G be a simple algebraic group. We consider invariant-theoretic properties of the simple G-module whose highest weight is the short dominant root.
DOI: 10.5802/jolt.692
Classification: 14L30, 17B20, 22E46
Keywords: Root system, adjoint representation, semisimple Lie algebra

Dmitri I. Panyushev  1

1 Institute for Information Transmission Problems, Russian Academy of Sciences, B. Karetnyi per. 19, Moscow 127994, Russia 
Dmitri I. Panyushev. Invariant Theory of Little Adjoint Modules. Journal of Lie Theory, Volume 22 (2012) no. 3, pp. 803-816. doi: 10.5802/jolt.692
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     author = {Dmitri I. Panyushev},
     title = {Invariant {Theory} of {Little} {Adjoint} {Modules}},
     journal = {Journal of Lie Theory},
     pages = {803--816},
     year = {2012},
     volume = {22},
     number = {3},
     doi = {10.5802/jolt.692},
     zbl = {1246.14060},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.692/}
}
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