Dimensions of maximal adjoint isotropic spaces for classical Lie superalgebras

WANG Shan-shan; quad SHU Bin

doi:10.3969/j.issn.1000-5641.2015.03.008

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

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

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Dimensions of maximal adjoint isotropic spaces for classical Lie superalgebras

doi: 10.3969/j.issn.1000-5641.2015.03.008

WANG Shan-shan,
quad SHU Bin^,

Received Date: 2014-01-24
Publish Date: 2015-05-25

Abstract

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
- isotropic odd roots quad maximal adjoint isotropic space quad classical Lie superalgebras,

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References(1)

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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