Journal of Lie Theory

no. 3
Parabolic Induction of Projective Orbits and Subalgebras
Journal of Lie Theory, Volume 16 (2006) no. 3, pp. 569-578
The concepts of parabolic induction of subalgebras and varieties appeared independently in works of different authors. Here we introduce and study the parabolic induction of projective orbits. This concept turns out to be closely related to the above ones, and can be used as a method to study them. As an application, we describe all subalgebras of a semisimple Lie algebra that contain a given subalgebra obtained by parabolic induction.
DOI: 10.5802/jolt.425
Classification: 20G05
Keywords: Representation theory, algebraic geometry, parabolic induction 
@article{JOLT_2006_16_3_a8,
     author = {A. V. Smirnov},
     title = {Parabolic {Induction} of {Projective} {Orbits} and {Subalgebras}},
     journal = {Journal of Lie Theory},
     pages = {569--578},
     year = {2006},
     volume = {16},
     number = {3},
     doi = {10.5802/jolt.425},
     zbl = {1125.14027},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.425/}
}
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%A A. V. Smirnov
%T Parabolic Induction of Projective Orbits and Subalgebras
%J Journal of Lie Theory
%D 2006
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A. V. Smirnov. Parabolic Induction of Projective Orbits and Subalgebras. Journal of Lie Theory, Volume 16 (2006) no. 3, pp. 569-578. doi: 10.5802/jolt.425

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