Version 1
: Received: 14 March 2017 / Approved: 15 March 2017 / Online: 15 March 2017 (08:04:30 CET)
How to cite:
Khalid, M.; Iqbal, A.; Khan, J. Generalization of the Geometry of Cathelineau Infinitesimal and Grassmannian Chain Complexes. Preprints2017, 2017030098. https://doi.org/10.20944/preprints201703.0098.v1
Khalid, M.; Iqbal, A.; Khan, J. Generalization of the Geometry of Cathelineau Infinitesimal and Grassmannian Chain Complexes. Preprints 2017, 2017030098. https://doi.org/10.20944/preprints201703.0098.v1
Khalid, M.; Iqbal, A.; Khan, J. Generalization of the Geometry of Cathelineau Infinitesimal and Grassmannian Chain Complexes. Preprints2017, 2017030098. https://doi.org/10.20944/preprints201703.0098.v1
APA Style
Khalid, M., Iqbal, A., & Khan, J. (2017). Generalization of the Geometry of Cathelineau Infinitesimal and Grassmannian Chain Complexes. Preprints. https://doi.org/10.20944/preprints201703.0098.v1
Chicago/Turabian Style
Khalid, M., Azhar Iqbal and Javed Khan. 2017 "Generalization of the Geometry of Cathelineau Infinitesimal and Grassmannian Chain Complexes" Preprints. https://doi.org/10.20944/preprints201703.0098.v1
Abstract
In this article, a generalization of the geometry of Grassmannian chain complex of free abelian groups generated by the projective configuration of points and Cathelineau's infinitesimal complex of polylogarithmic groups is proposed. Firstly, homomorphisms for weight n =2 up to weight n=6 will be introduced to connect sub-complexes of Grassmannian and Cathelineau. Lately, generalization of these morphisms will be shown for weight n=N. The associated diagrams will also be proven to be commutative and bi-complex.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
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.
