Results 251 to 260 of about 181,912 (296)

BIMODULES OVER A SOLVABLE ALGEBRAIC LIE ALGEBRA

The Quarterly Journal of Mathematics, 1985
The authors investigate the following situation: R and S are Noetherian rings and M is a left R-, right S-bimodule which is finitely generated as a left R-module and as a right S-module. The rings R and S are said to be bonded in case they are both prime and M is torsion-free on both sides, and in this case if D and E are the simple Artinian quotient ...
Brown, K. A., Smith, S. P.
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On the Solvable n-Lie Algebras

2012
The solvable n-Lie algebras are studied, we determined some properties of solvable n-Lie algebras, gave the definition of Borel n-subalgebra, and also got some results about Borel n-subalgebras.
Jianbo Liu, Yanyan Zhang, Yafeng Men, Wenying Chen   +3 more
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On the Representation Theory of Solvable Lie Algebras

Proceedings of the London Mathematical Society, 1988
Let \(U\) denote the enveloping algebra of a finite dimensional solvable Lie algebra \(\mathfrak g\) over the field \(\mathbb C\) of complex numbers. This paper is concerned with an investigation of the cliques in the primitive spectrum \(\mathrm{Prim}(U)\) of \(U\), and follows the work of the first author [Bull. Sci. Math., II. Sér.
Brown, Kenneth A., du Cloux, Fokko
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Controllability of Solvable Lie Algebras

Journal of Dynamical and Control Systems, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solvability in representations ofn-Lie algebras

Siberian Mathematical Journal, 1998
A vector space \(A\) over a field \(F\) is called an \(n\)-Lie algebra if it is endowed with an \(n\)-ary multilinear operation \([ ,\ldots ,\;]: A^n\rightarrow A\) which satisfies the generalized anticommutativity and Jacobi identities: \[ \begin{aligned} [x_1,\ldots,x_n] &=\text{sign} (\sigma)[x_{\sigma(1)},\ldots,x_{\sigma(n)}],\tag{i}\\ [x_1,\ldots,
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Nilpotent Lie Algebras and Solvable Lie Algebras

1987
The Lie algebras considered in this chapter are finite-dimensional algebras over a field k. In Sees. 7 and 8 we assume that k has characteristic 0. The Lie bracket of x and y is denoted by [x, y], and the map y → [x, y] by ad x.
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COMPUTING THE LAW OF A FAMILY OF SOLVABLE LIE ALGEBRAS

International Journal of Algebra and Computation, 2009
This paper shows an algorithm which computes the law of the Lie algebra associated with the complex Lie group of n × n upper-triangular matrices with exponential elements in their main diagonal. For its implementation two procedures are used, respectively, to define a basis of the Lie algebra and the nonzero brackets in its law with respect to that ...
Juan C. Benjumea, Juan Núñez 0001, Ángel F. Tenorio   +2 more
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Properties of the Invariants of Solvable Lie Algebras

Canadian Mathematical Bulletin, 2000
AbstractWe generalize to a field of characteristic zero certain properties of the invariant functions of the coadjoint representation of solvable Lie algebras with abelian nilradicals, previously obtained over the base field ℂ of complex numbers. In particular we determine their number and the restricted type of variables on which they depend.
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Subinvariance in Solvable Lie Algebras

Canadian Journal of Mathematics, 1976
In a recent paper, Wielandt has continued his investigation of subnormal subgroups. Since the analogous concept is also of interest in Lie algebras, this note considers the Lie algebra counterparts to Wielandt's results. Generally the results do not carry over to all Lie algebras, but do hold in the solvable case.
Chong-Yun Chao, Ernest L. Stitzinger
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On the level of some solvable lie algebras

Siberian Mathematical Journal, 1998
The article under review is devoted to finding estimates for the level of some finite-dimensional solvable Lie algebras [for more detail, see the author's articles, Izv. Vyshch. Uchebn. Zaved. Mat. 1992, No. 10 (353), 19-27 (1992; Zbl 0753.17002) and Algebra Anal. 5, No. 3, 100-118 (1993; Zbl 0798.17021)].
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