1Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, 1000, Slovenia 2Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119992, Russia
Journal of Lie Theory, Tome 28 (2018) no. 4, pp. 1189-1199
We study numerical invariants of identities of finite-dimensional solvable Lie superalgebras. We define new series of finite-dimensional solvable Lie superalgebras L with non-nilpotent derived subalgebra $L'$ and discuss their codimension growth. For the first algebra of this series we prove the existence and integrality of exp(L).
1
Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, 1000, Slovenia
2
Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119992, Russia
Dusan D. Repovs; Mikhail V. Zaicev. Codimension Growth of Solvable Lie Superalgebras. Journal of Lie Theory, Tome 28 (2018) no. 4, pp. 1189-1199. http://geodesic.mathdoc.fr/item/JOLT_2018_28_4_a13/
@article{JOLT_2018_28_4_a13,
author = {Dusan D. Repovs and Mikhail V. Zaicev},
title = {Codimension {Growth} of {Solvable} {Lie} {Superalgebras}},
journal = {Journal of Lie Theory},
pages = {1189--1199},
year = {2018},
volume = {28},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2018_28_4_a13/}
}
TY - JOUR
AU - Dusan D. Repovs
AU - Mikhail V. Zaicev
TI - Codimension Growth of Solvable Lie Superalgebras
JO - Journal of Lie Theory
PY - 2018
SP - 1189
EP - 1199
VL - 28
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2018_28_4_a13/
ID - JOLT_2018_28_4_a13
ER -
%0 Journal Article
%A Dusan D. Repovs
%A Mikhail V. Zaicev
%T Codimension Growth of Solvable Lie Superalgebras
%J Journal of Lie Theory
%D 2018
%P 1189-1199
%V 28
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2018_28_4_a13/
%F JOLT_2018_28_4_a13
