Filtration, automorphisms, and classification of infinite-dimensional odd contact superalgebras

被引：0
作者：
Jixia Yuan
Wende Liu
机构：
[1] Northeast Forestry University,Department of Mathematics
[2] Harbin Normal University,School of Mathematical Sciences
来源：
Frontiers of Mathematics in China | 2013年 / 8卷
关键词：
Lie superalgebra; filtration; automorphism; classification; 17B50; 17B40; 17B65;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The principal filtration of the infinite-dimensional odd contact Lie superalgebra over a field of characteristic p > 2 is proved to be invariant under the automorphism group by investigating ad-nilpotent elements and determining certain invariants such as subalgebras generated by some ad-nilpotent elements. Then, it is proved that two automorphisms coincide if and only if they coincide on the −1 component with respect to the principal grading. Finally, all the odd contact superalgebras are classified up to isomorphisms.
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页码：203 / 216
页数：13
相关论文
共 16 条
  • [1] Kac V. G.(1998)Classification of infinite-dimensional simple linearly compact Lie superalgebras Adv Math 139 1-55
  • [2] Liu W. D.(2009)Finite-dimensional special odd Hamiltonian superalgebras in prime characteristic Commun Contemp Math 11 523-546
  • [3] He Y. H.(2004)Infinite-dimensional modular odd Hamiltonian Lie superalgebras Comm Algebra 32 2341-2357
  • [4] Liu W. D.(2005)Finite-dimensional odd Hamiltonian superalgebras over a field of prime characteristic J Aust Math Soc 79 113-130
  • [5] Zhang Y. Z.(2004)The derivation algebra of the Cartan-type Lie superalgebra J Algebra 273 176-205
  • [6] Liu W. D.(2002)Finite-dimensional Hamiltonian Lie superalgebras Comm Algebra 30 2651-2673
  • [7] Zhang Y. Z.(2006)Infinite-dimensional modular Lie superalgebras Algebra Colloq 132 197-210
  • [8] Liu W. D.(1998) and Adv Math (China) 27 240-246
  • [9] Zhang Y. Z.(undefined) of Cartan Type undefined undefined undefined-undefined
  • [10] Wang X. L.(undefined)Finite-dimensional Lie superalgebras undefined undefined undefined-undefined
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