Reaktionen von Tetraphosphortrichalkogeniden mit Alkyliodiden

Reactions of Tetraphosphorus Trichalcogenides with Alkyl Iodides Reactions of alkyl iodides RI (R = CHI₂, CH₂I or tert-Butyl) with P₄E₃ (E = S or Se) under the influence of light resulted in cleavage of the basal P₃ ring. β-P₄E₃(I)R was formed initially, then it rearranged to the more stable α-P₄E₃(I)R structure. ³¹P NMR data of these products were measured and discussed, along with ⁷⁷Se data for α- and β-P₄⁷⁷SeSe₂(I)CHI₂. On reaction of P₄S₃ with tert-butyl iodide in CS₂ or with sec-butyl iodide or iso-propyl iodide in dioxane, the new type of compounds P₅S₂R was observed. In this a sulfur bridge of P₄S₃ is replaced by a P? R group. ³¹P-NMR data for these compounds are reported.     

On the Existence of Auslander–Reiten Sequences of Group Representations II

This is the second part of our study of the existence ofAuslander–Reiten sequences of group representations. In Part I weconsidered representations of group schemes in characteristic 0; in thispart we consider representations of group schemes in characteristicp; and in Part III we give applications to representations ofabstract groups and Lie algebras.     

Endomorphism Algebras of Some Modules for Schur Algebras and Representation Dimension

We consider the representation dimension, for fixed n ≥ 2, of ordinary and quantised Schur algebras S(n, r) over a field k. For k of positive characteristic p we give a lower bound valid for all p. We also give an upper bound in the quantum case, when k has characteristic 0.     

Invariants of several matrices

Oblatum 2-XII-1991 & 15-VI-1992