Derivations of the Even Part of the Odd Hamiltonian Superalgebra in Modular Case  

作　　者：Wen De LIU Xiu Ying HUA Yu Cai SU 

机构地区：[1]School of Mathematical Sciences, Harbin Normal University, Harbin 150025, P. R. China [2]Department of Applied Mathematics, Harbin University of Science and Technology, Harbin 150080, P. R. China [3]Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2009年第3期355-378,共24页数学学报（英文版）

基　　金：Supported by NsF of China (10671160, 10871057), NSF (A200802); PDSF of Heilongjiang Province, China I Supported by NSF of China (10825101);"One Hundred Talents Program" from USTC

摘　　要：In this paper we mainly study the derivations for even part of the finite-dimensional odd Hamiltonian superalgebra HO over a field of prime characteristic. We first give the generating set of the even part g of HO. Then we compute the derivations from g into the even part m of the generalized Witt superalgebra. Finally, we determine the derivation algebra and outer derivation algebra of and the dimension formulas. In particular, the first cohomology groups H^1（g;m） and H^1（g;g） are determined.In this paper we mainly study the derivations for even part of the finite-dimensional odd Hamiltonian superalgebra HO over a field of prime characteristic. We first give the generating set of the even part g of HO. Then we compute the derivations from g into the even part m of the generalized Witt superalgebra. Finally, we determine the derivation algebra and outer derivation algebra of and the dimension formulas. In particular, the first cohomology groups H^1（g;m） and H^1（g;g） are determined.

关 键 词：canonical torus derivation space first cohomology group 

分 类 号：O172.2[理学—数学]