Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 12, Tome 209 (1994), pp. 168-178
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V. D. Lyakhovsky. The role of solvable groups in quantization of Lie algebras. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 12, Tome 209 (1994), pp. 168-178. http://geodesic.mathdoc.fr/item/ZNSL_1994_209_a9/
@article{ZNSL_1994_209_a9,
author = {V. D. Lyakhovsky},
title = {The role of solvable groups in quantization of {Lie} algebras},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {168--178},
year = {1994},
volume = {209},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_209_a9/}
}
TY - JOUR
AU - V. D. Lyakhovsky
TI - The role of solvable groups in quantization of Lie algebras
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1994
SP - 168
EP - 178
VL - 209
UR - http://geodesic.mathdoc.fr/item/ZNSL_1994_209_a9/
LA - ru
ID - ZNSL_1994_209_a9
ER -
%0 Journal Article
%A V. D. Lyakhovsky
%T The role of solvable groups in quantization of Lie algebras
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 168-178
%V 209
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_209_a9/
%G ru
%F ZNSL_1994_209_a9
The wide class of quantum universal enveloping algebras is proved to have the unique correspondence to Hopf algebras $H$ with spectrum $Q(H)$ in the category of groups. Such quantum algebras are quantum groups for simply connected solvable Lie groups $P(H)$. Bibliography: 7 titles.