Dimensions of maximal adjoint isotropic spaces for classical Lie superalgebras
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摘要: 对复数域上的典型李超代数定义了极大Adjoint二次迷向空间,这是典型李超代数的内蕴特征;对每一类典型李超代数的极大,Adjoint,二次迷向空间做了细致的刻画, 并确定它们各自的维数.
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关键词:
- 迷向奇根 /
- 极大Adjoint二次迷向空间 /
- 典型李超代数
Abstract: For classical Lie superalgebras over complex numbers, this paper gave a notion of maximal strong adjoint isotropic spaces, which is an intrinsic nature of complex classical Lie superalgebras.This paper is devoted to the determination of maximal strong adjoint is otropic spaces of all kinds of classical Lie superalgebras and their dimensions -
[1]STRADE H, FARNSTEINER R. Modular Lie Algebras and Their Representations [M]. Boca Raton, Florida: Chemical Rubber Company Press, 1988.[2]PREMET A A. Lie Algebras without strong degeneration [J]. Math USSR Sbornik, 1987, 57(1): 151-164.[3]KAC V G. Lie Superalgebras [J]. Advances in Mathematics, 1977, 26:8-96.
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