David A. Towers

7 Questions 39 Answers 0 Followers

Questions related from David A. Towers

Can anyone tell me the GAP code to produce the derivations of a Lie algebra in matrix form?

I am a novice in using GAP. I can find the dimension of the derivation algebra but want to see the derivations displayed as matrices.

03 March 2016 9,430 5 View

Is there an example of a solvable Lie algebra with non-characteristic nilradical?

It is well-known that the nilradical of a finite-dimensional Lie algebra over a field of characteristic p is not necessarily characteristic (that is, not invariant under all derivations of the...

02 February 2016 3,579 4 View

Does the Research Excellence Framework influence the quality of mathematical research?

There are now periodic assessments of our research in Britain, the latest having been called REF, and I wonder whether they are having an influence on the research we carry out, and, if so,...

09 September 2015 1,915 2 View

Where does the algebraically closed field enter into Block's Theorem?

When applying Block's Theorem on the structure of differentiably simple rings to Lie algebras most authors require an algebraically closed field, but I can see no reference to algebraic closure in...

09 September 2015 6,750 1 View

To what extent is context of fundamental importance in all investigations of axiomatic systems?

Some time ago a reviewer remarked "I am also wondering whether results about all kinds of Lie algebras are what we should be looking for. This is what you do at the earlier stages of a theory, may...

01 January 2015 4,551 5 View

How can we include characteristic p in this work?

This is work in progress. If N is the nilradical of a solvable Lie algebra then its centraliser, C_L(N), is contained in N. The problem is to find a generalised version of the nilradical, N*,...

12 December 2014 5,912 3 View

When M. I. Kuznetsov refers to a 1-graded Lie algebra in the below paper does he mean Z-graded?

M. I. Kuznetsov refers to a 1-graded Lie algebra in "Simple modular Lie algebras with a solvable maximal subalgebra, Math. USSR Sb30 (1976), 68–76". Does he mean Z-graded?

02 February 2014 1,538 3 View