广义映射Schr?dinger-Virasoro代数的二上同调群
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摘要
该文给出了广义映射Schr?dinger-Virasoro代数的所有二上同调群,并且给出了这类李代数的所有泛中心扩张.
The second cohomology groups of the generalized map Schr?dinger-Virasoro algebras are determined.And the universal central extensions of the generalized map Schr?dinger-Virasoro algebras are given.
The second cohomology groups of the generalized map Schr?dinger-Virasoro algebras are determined.And the universal central extensions of the generalized map Schr?dinger-Virasoro algebras are given.
引文
[1]Chen H.,Fan G.,Han J.,et al.,Derivations,automorphisms and second cohomology of generalized loop Schr?dinger-Virasoro algebras,arXiv:1509.01916,2015.
[2]Henkel M.,Schr?dinger invariance and strongly anisotropic critical systems,J.Stat.Phys., 1994,75:1023-1029.
[3]Henkel M.,Unterberger J.,Schrodinger invariance andspace-time symmetries,Nucl.Phys.B,2003,660:407-412.
[4]Roger C.,Unterberger J.,The Schr?dinger-Virasoro Lie group and algebra:representation theory and cohomological study,Ann.Henri Poincaré, 2006,7:1477-1529.
[5]Su Y.,Wu H.,Wang S.,Yue X.,Structures of generalized map Virasoro algebras,Symmetries and Groups in Contemporary Physics,in Proceedings of the XXIX International Colloquium on Group-Theoretical Methods in Physics,Tianjin,China,World Scie,ntific,2013:505-510.
[6]Tan S.,Zhang X.,Automorphisms and Verma modules for generalized Schr?dinger-Virasoro algebras,J.Algebra,2009,322:1379-1394.
[7]Tan S.,Zhang X.,Unitary representations for the Schr?dinger-Virasoro Lie algebra,J.Algebra Appl.,2013,12:1250132,16pp.
[8]Wang W.,Li J.,Xin B.,Central Extensions and Derivations of Generalized Schrodinger-Virasoro algebra,Algebra Colloq, 2012,19:735-744.
[9]Wang W.,Li J.,Xu Y.,Derivation algebra and automorphism of the twisted deformative Schr?dingerVirasoro Lie algebra,Comm.Algebra,2012,40:3365-3388.
[10]Wu H.,Wang S.,Yue X.,Structures of generalized loop Virasoro algebras,Comm.Algebra,2014,42:1545-1558.
[2]Henkel M.,Schr?dinger invariance and strongly anisotropic critical systems,J.Stat.Phys., 1994,75:1023-1029.
[3]Henkel M.,Unterberger J.,Schrodinger invariance andspace-time symmetries,Nucl.Phys.B,2003,660:407-412.
[4]Roger C.,Unterberger J.,The Schr?dinger-Virasoro Lie group and algebra:representation theory and cohomological study,Ann.Henri Poincaré, 2006,7:1477-1529.
[5]Su Y.,Wu H.,Wang S.,Yue X.,Structures of generalized map Virasoro algebras,Symmetries and Groups in Contemporary Physics,in Proceedings of the XXIX International Colloquium on Group-Theoretical Methods in Physics,Tianjin,China,World Scie,ntific,2013:505-510.
[6]Tan S.,Zhang X.,Automorphisms and Verma modules for generalized Schr?dinger-Virasoro algebras,J.Algebra,2009,322:1379-1394.
[7]Tan S.,Zhang X.,Unitary representations for the Schr?dinger-Virasoro Lie algebra,J.Algebra Appl.,2013,12:1250132,16pp.
[8]Wang W.,Li J.,Xin B.,Central Extensions and Derivations of Generalized Schrodinger-Virasoro algebra,Algebra Colloq, 2012,19:735-744.
[9]Wang W.,Li J.,Xu Y.,Derivation algebra and automorphism of the twisted deformative Schr?dingerVirasoro Lie algebra,Comm.Algebra,2012,40:3365-3388.
[10]Wu H.,Wang S.,Yue X.,Structures of generalized loop Virasoro algebras,Comm.Algebra,2014,42:1545-1558.