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 K be an algebraically closed field. For a finitely generated graded commutative K-algebra R, let cmdefR:=dimR−depthR denote the Cohen–Macaulay defect of R. Let G be a linear algebraic group over K that is reductive but not linearly reductive. We show that there exists a faithful rational representation V of G (which we will give explicitly) such that cmdefK[V⊕k]G⩾k−2 for all k∈N.
Let G be a finite group acting linearly on a vector space V over a field of characteristic p dividing the group order, and let R:=S(V∗). We study the RG modules Hi(G,R), for i⩾0 with RG itself as a special case. There are lower bounds for depthRG(Hi(G,R)) and for depth(RG). We show that a certain sufficient condition for their attainment (due to Fleischmann, Kemper and Shank [P. Fleischmann, G. Kemper,...
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.