Results 181 to 190 of about 538,257 (210)

Nilpotent Lie Algebras.

1961
PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/184753/2/6106327 ...
openaire   +2 more sources

ON THE RATIONAL FORMS OF NILPOTENT LIE ALGEBRAS AND LATTICES IN NILPOTENT LIE GROUPS

2002
Let \(L\) be a real finite-dimensional nilpotent Lie algebra and \(H\) be a rational subalgebra of \(L\). \(H\) is called a rational form for \(L\) if there exists a basis of \(H\) over \(Q\) which is also a real basis for \(L\). Rational forms for the Lie algebra of a nilpotent Lie group give rise to lattices in the group.
openaire   +2 more sources

Automorphism Groups of Nilpotent Lie Algebras

Journal of the London Mathematical Society, 1987
It is shown that every linear algebraic group (over an arbitrary field) arises from some nilpotent Lie algebra \(L\) as the group of linear transformations induced on the commutator quotient \(L/[L,L]\) by the automorphism group of \(L\). More precisely, let \(k\) be a field and let \(K\) be an extension field of \(k\).
openaire   +2 more sources

On the nilpotency and decomposition of Lie-type algebras

Mathematical Notes, 2007
Let \(G\) be a semigroup acting on a set \(M\). Consider a \(G\)-graded algebra \(B\) over a field \(k\), not necessarily associative, and an \(M\)-graded space \(V\). A Lie-type representation of \(B\) in \(V\) is a linear map \(\rho\) from \(B\) into the endomorphism algebra of \(V\) such that \(\rho(B_\alpha)V_\gamma\subseteq V_{\alpha\gamma}\), and
openaire   +3 more sources

HYPERCENTRAL ENVELOPING ALGEBRAS ARE LIE NILPOTENT

The Quarterly Journal of Mathematics, 1994
For \(L\) a restricted Lie algebra over a field of characteristic \(p>0\) the author investigates the structure of \(L\) when its restricted enveloping algebra \(u(L)\), considered as a Lie algebra via \([x,y]= xy- yx\), is hypercentral, i.e., its ascending central series eventually reaches \(u(L)\) after some ordinal.
openaire   +1 more source

Nilpotent groups and lie algebras

Algebra and Logic, 1968
openaire   +1 more source

On nilpotent Lie algebras

Archiv der Mathematik, 1976
Chao, Chong-Yun, Stitzinger, Ernest L.
openaire   +1 more source

Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2

Journal of Algebra, 2007
Willem A de Graaf
exaly  

On dimension of the Schur multiplier of nilpotent Lie algebras

Central European Journal of Mathematics, 2010
Peyman Niroomand
exaly  

On quasi-cyclic nilpotent Lie algebras.

1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources