caa a22 4500 605461716 CHVBK 20210128100244.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10114-015-4464-5 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4464-5 Structures of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras [Elektronische Daten] [Guang Fan, Chen Zhou, Xiao Yue] In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras. In particular, the derivation algebras, the automorphism groups and the second cohomology groups of these Lie algebras are determined. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Not-finitely graded Lie algebras nationallicence generalized Heisenberg-Virasoro algebras nationallicence derivations nationallicence automorphisms nationallicence 2-cocycles nationallicence Fan Guang Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China aut Zhou Chen Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China aut Yue Xiao Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/10(2015-10-01), 1517-1530 1439-8516 31:10<1517 2015 31 10114 https://doi.org/10.1007/s10114-015-4464-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4464-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fan Guang Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China aut NATIONALLICENCE 700 1- Zhou Chen Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China aut NATIONALLICENCE 700 1- Yue Xiao Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/10(2015-10-01), 1517-1530 1439-8516 31:10<1517 2015 31 10114