Ideals and simplicity of unitary Lie algebras

Yelong Zheng , Zhihua Chang , Yun Gao

Front. Math. China ›› 2011, Vol. 6 ›› Issue (4) : 789 -820.

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Front. Math. China ›› 2011, Vol. 6 ›› Issue (4) : 789 -820. DOI: 10.1007/s11464-011-0148-3
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Ideals and simplicity of unitary Lie algebras

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Abstract

Double graded ideals and simplicity of elementary unitary Lie algebra eu n(R,, γ) and Steinberg unitary Lie algebra stu n(R,, γ) are characterized, where R is a unital involutory associative algebra over a field F of characteristic zero, n ⩾ 5.

Keywords

Elementary unitary Lie algebra / Steinberg unitary Lie algebra / graded ideal / graded simplicity / involutory algebra

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Yelong Zheng, Zhihua Chang, Yun Gao. Ideals and simplicity of unitary Lie algebras. Front. Math. China, 2011, 6(4): 789-820 DOI:10.1007/s11464-011-0148-3

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References

[1]

Allison B. N., Faulkner J. R. Nonassociative coefficient algebras for Steinberg unitary Lie algebras. J Algebra, 1993, 161, 1-19

[2]

Berman S., Gao Y., Krylyuk Y. S. Quantum tori and the structure of elliptic quasi-simple Lie algebras. J Functional Analysis, 1996, 135, 339-389

[3]

Berman S., Moody R. V. Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy. Invent Math, 1992, 108, 323-347

[4]

Faulkner J. R. Barbilian planes. Geom Dedicata, 1989, 30, 125-181

[5]

Gao Y. Involutive Lie algebras graded by finite root systems and compact forms of IM algebras. Math Z, 1996, 223 4 651-672

[6]

Gao Y. Steiberg unitary Lie algebras and skew-dihedral homology. J Algebra, 1996, 17, 261-304

[7]

Helgason S. Differential Geometry, Lie Groups, and Symmetric Spaces, 1978, New York: Academic Press.

[8]

Shang S. Steinberg Lie Algebras and Their Central Extensions, 2008, Hefei: University of Science and Technology of China.

[9]

Zheng Y. Ideals and Simplicity, Invariant Forms and Derivation Algebra of Unitary Lie Algebras, 2009, Hefei: University of Science and Technology of China.

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