Journal of Lie Theory

no. 1
Biregular Elements in Radicals of Parabolic Subgroups in GL(n)
Journal of Lie Theory, Volume 35 (2025) no. 1, pp. 37-54
A biregular element in the radical u of the parabolic subgroup P is an element that is regular with respect to the adjoint actions of P and its maximal unipotent subgroup N simultaneously. We present a canonical biregular element in the radical of the parabolic subgroup of GL(n). We construct a system of free generators of the field of AdN-invariants K(u)N.
DOI: 10.5802/jolt.1372
Classification: 17B45, 20G07, 13A50
Keywords: Theory of invariants, parabolic subgroups, unipotent subgroup, adjoint orbits, nilpotent matrix 
@article{JOLT_2025_35_1_a2,
     author = {A. N. Panov},
     title = {Biregular {Elements} in  {Radicals} of {Parabolic} {Subgroups} in {GL(n)}},
     journal = {Journal of Lie Theory},
     pages = {37--54},
     year = {2025},
     volume = {35},
     number = {1},
     doi = {10.5802/jolt.1372},
     zbl = {1573.17038},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1372/}
}
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A. N. Panov. Biregular Elements in  Radicals of Parabolic Subgroups in GL(n). Journal of Lie Theory, Volume 35 (2025) no. 1, pp. 37-54. doi: 10.5802/jolt.1372

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