The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
Let P be a parabolic subalgebra of a general linear Lie algebra gl(n, ) over a field , where n ≥ 3, contains at least n different elements, and char( ) ≠ 2. In this article, we prove that generalized derivations, quasiderivations, and product zero derivations of P coincide, and any generalized derivation of P is a sum of an inner derivation, a central quasiderivation, and a scalar multiplication...
Let L be a Lie algebra over a field F. We say that L is zero product determined if, for every F-linear space V and every bilinear map φ:L×L→V, the following condition holds. If φ(x,y)=0 whenever [x,y]=0, then there exists a linear map f from [L,L] to V such that φ(x,y)=f([x,y]) for all x,y∈L. This article shows that every parabolic subalgebra p of a (finite-dimensional) simple Lie algebra defined...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.