decomposition of automorphisms of certain solvable subalgebra of symplectic lie algebra over commutative rings
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decomposition of automorphisms of certain solvable subalgebra of symplectic lie algebra over commutative rings

;Xing Tao Wang;Lei Zhang
structural engineering and mechanics 2012 Vol. 2012 pp. -
89
wang2012internationaldecomposition

Abstract

Let Cl+1(R) be the 2(l+1)×2(l+1) matrix symplectic Lie algebra over a commutative ring R with 2 invertible. Then tl+1CR  =  {m-1m-20-m-1T ∣ m̅1 is an l+1 upper triangular matrix, m̅2T=m̅2,  over  R} is the solvable subalgebra of Cl+1(R). In this paper, we give an explicit description of the automorphism group of tl+1(C)(R).

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mathematics

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DOI:
10.1155/2012/242736
URL:
http://dx.doi.org/10.1155/2012/242736

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ID: 219934
Ref Key: wang2012internationaldecomposition
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