Journal of Lie Theory

no. 1
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, 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

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, Volume 35 (2025) no. 1, pp. 37-54. doi: 10.5802/jolt.1372
@article{JOLT_2025_35_1_a2,
     author = {Aleksandr 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/}
}
TY  - JOUR
AU  - Aleksandr N. Panov
TI  - Biregular Elements in  Radicals of Parabolic Subgroups in GL(n)
JO  - Journal of Lie Theory
PY  - 2025
SP  - 37
EP  - 54
VL  - 35
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1372/
DO  - 10.5802/jolt.1372
ID  - JOLT_2025_35_1_a2
ER  - 
%0 Journal Article
%A Aleksandr N. Panov
%T Biregular Elements in  Radicals of Parabolic Subgroups in GL(n)
%J Journal of Lie Theory
%D 2025
%P 37-54
%V 35
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1372/
%R 10.5802/jolt.1372
%F JOLT_2025_35_1_a2

Cited by Sources: