Journal of Prime Research in Mathematics
Vol. 1 (2016), Issue 1, pp. 24 – 34
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
Projective configurations and the variant of cathelineaus complex
Sadaqat Hussain
Department of Mathematical Sciences ,University of Karachi, Pakistan.
Raziuddin Siddiqui
Department of Mathematical Sciences Research centre, Federal Urdu University, Gulshan-e-Iqbal, Karachi Pakistan.
\(^{1}\)Corresponding Author: sadaqatku@gmail.com
Copyright © 2016 Sadaqat Hussain, Raziuddin Siddiqui. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2016.
Abstract
In this paper we try to connect the Grassmannian subcomplex defined over the projective differential map \(\acute{d}\) and the variant of Cathelineau’s complex. To do this we define some morphisms over the configuration space for both weight 2 and 3. we also prove the commutativity of corresponding diagrams.
Keywords:
Grassmannian complex; configuration; vector space; Infinitesimal; Cross Ratio.