Mots-clés : nil-triangular subalgebra
@article{JSFU_2022_15_5_a9,
author = {Elena A. Sotnikova},
title = {Maximal abelian ideals and automorphisms of nonfinitary nil-triangular algebras},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {635--640},
year = {2022},
volume = {15},
number = {5},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a9/}
}
TY - JOUR AU - Elena A. Sotnikova TI - Maximal abelian ideals and automorphisms of nonfinitary nil-triangular algebras JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2022 SP - 635 EP - 640 VL - 15 IS - 5 UR - http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a9/ LA - en ID - JSFU_2022_15_5_a9 ER -
%0 Journal Article %A Elena A. Sotnikova %T Maximal abelian ideals and automorphisms of nonfinitary nil-triangular algebras %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2022 %P 635-640 %V 15 %N 5 %U http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a9/ %G en %F JSFU_2022_15_5_a9
Elena A. Sotnikova. Maximal abelian ideals and automorphisms of nonfinitary nil-triangular algebras. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 635-640. http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a9/
[1] J.V. Bekker, V.M. Levchuk, E.A. Sotnikova, “Nonfinitary generalizations of nil-triangular subalgebras of Chevalley algebras”, Bulletin of Irkutsk state university, Series mathematics, 29 (2019), 39–51 (in Russian) | DOI | MR | Zbl
[2] J.V. Bekker, D.V. Levchuk, E.A. Sotnikova, “Automorphisms of rings of nonfinitary niltriangular matrices”, Trudy Instituta Matematiki i Mekhaniki URO RAN, 26, no. 3, 2020, 7–13 (in Russian) | DOI | MR
[3] I.N. Zotov, V.M. Levchuk, “Nonfinitary algebras and their automorphism groups”, Siberian Mathematical Journal, 63:1 (2022), 87–96 | DOI | MR | Zbl
[4] R. Carter, Simple Groups of Lie type, Wiley and Sons, New York, 1972 | MR | Zbl
[5] V.M. Levchuk, “Automorphisms of unipotent subgroups of Chevalley groups”, Algebra and Logic, 29:3 (1990), 211–224 | DOI | MR | Zbl
[6] R. Slowik, “Bijective maps of infinite triangular and unitriangular matrices preserving commutators”, Linear and Multilinear Algebra, 61:8 (2013), 1028–1040 | DOI | MR | Zbl
[7] E.A. Sotnikova, “Nonfinitary generalizations of nil-triangular subalgebras of Chevalley algebras”, International conference (Krasnoyarsk, SFU, 2019), 1075–1077 (in Russian)
[8] V.M. Levchuk, “Some locally nilpotent rings and their associated groups”, Math Notes, 42:5 (1987), 631–641 | DOI | MR | Zbl
[9] F. Kuzucuoglu, V.M. Levchuk, “Isomorphisms of Certain Locally Nilpotent Finitary Groups and Associated Rings”, Acta Applicandae Mathematicae, 82:2 (2004), 169–181 | DOI | MR | Zbl
[10] V.M. Levchuk, A.V. Litavrin, “Hypercentral automorphisms of nil-triangular subalgebras in Chevalley algebras”, Sib. Elektron. Mat. Izv., 13 (2016), 467–477 (in Russian) | DOI | MR | Zbl
[11] V.M. Levchuk, “Connections between a unitriangular group and certain rings. Chap. 2: Groups of automorphisms”, Siberian Mathematical Journal, 24:4 (1983), 543–557 | DOI | MR | Zbl