Journal of East China Normal University(Natural Science) >

2015 , Vol. 2015 >Issue 3: 57 - 66

DOI: https://doi.org/10.3969/j.issn.1000-5641.2015.03.008

Article

Dimensions of maximal adjoint isotropic spaces for classical Lie superalgebras

  • WANG Shan-Shan ,
  • SHU Bin
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Received date: 2014-01-24

  Online published: 2015-05-28

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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

Key words： isotropic odd roots; quad maximal adjoint isotropic space; quad classical Lie superalgebras

Cite this article

WANG Shan-Shan , SHU Bin . Dimensions of maximal adjoint isotropic spaces for classical Lie superalgebras[J]. Journal of East China Normal University(Natural Science), 2015 , 2015(3) : 57 -66 . DOI: 10.3969/j.issn.1000-5641.2015.03.008

References

[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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