Geodesic
Orbits of the automorphism group of a module over a principal ideal ring
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 37-40 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We describe the orbits of the automorphism group of a finitely generated module over a principal ideal domain in terms of canonical representatives and by a complete system of invariants. For a primary module, we establish a natural bijection between the set of orbits and the set of partitions of the Young diagram corresponding to the module into two Young diagrams, which allows us to determine the number of orbits. 
@article{VMUMM_2016_5_a5,
     author = {A. A. Garazha},
     title = {Orbits of the automorphism group of a module over a principal ideal ring},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {37--40},
     year = {2016},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a5/}
}
TY  - JOUR
AU  - A. A. Garazha
TI  - Orbits of the automorphism group of a module over a principal ideal ring
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2016
SP  - 37
EP  - 40
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a5/
LA  - ru
ID  - VMUMM_2016_5_a5
ER  - 
%0 Journal Article
%A A. A. Garazha
%T Orbits of the automorphism group of a module over a principal ideal ring
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2016
%P 37-40
%N 5
%U http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a5/
%G ru
%F VMUMM_2016_5_a5
A. A. Garazha. Orbits of the automorphism group of a module over a principal ideal ring. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 37-40. http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a5/

[1] Achar P.N., Henderson A., “Orbit closures in the enhanced nilpotent cone”, Adv. Math., 219 (2008), 27–62 | DOI | MR | Zbl

[2] Travkin R., “Mirabolic Robinson–Schensted–Knuth correspondence”, Selecta Math. New Ser., 14 (2009), 727–758 | DOI | MR | Zbl

[3] Burbaki N., Algebra. Moduli, koltsa, formy, Nauka, M., 1966 | MR