Geodesic
Biregular Elements in Radicals of Parabolic Subgroups in GL(n)
Aleksandr N. Panov1
1Mechanical and Mathematical Faculty, National Research University, Samara, Russia
Journal of Lie Theory, Tome 35 (2025) no. 1, pp. 37-54

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 17B45, 20G07, 13A50
Mots-clés : Theory of invariants, parabolic subgroups, unipotent subgroup, adjoint orbits, nilpotent matrix

Aleksandr N. Panov  1

1 Mechanical and Mathematical Faculty, National Research University, Samara, Russia 
Aleksandr N. Panov. Biregular Elements in  Radicals of Parabolic Subgroups in GL(n). Journal of Lie Theory, Tome 35 (2025) no. 1, pp. 37-54. http://geodesic.mathdoc.fr/item/JOLT_2025_35_1_a2/
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     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},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2025_35_1_a2/}
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