Infinitesimal and tangent to polylogarithmic complexes for higher weight

Author(s)

Raziuddin Siddiqui, Institute of Business Administration, KarachiFollow

Author Affiliation

Raziuddin Siddiqui is Assistant Professor at the Department of Mathematical Sciences, Institute of Business Administration (IBA), Karachi

Faculty / School

Faculty of Computer Sciences (FCS)

Department

Department of Mathematical Sciences

Was this content written or created while at IBA?

Yes

Document Type

Article

Source Publication

AIMS Mathematics

ISSN

2473-6988

Keywords

Five term relation, Infinitesimal complex, Polylogarithm, Tangent complex

Disciplines

Mathematics

Abstract

Motivic and polylogarithmic complexes have deep connections with K-theory. This article gives morphisms (different from Goncharov’s generalized maps) between k-vector spaces of Cathelineau’s infinitesimal complex for weight n. Our morphisms guarantee that the sequence of infinitesimal polylogs is a complex. We are also introducing a variant of Cathelineau’s complex with the derivation map for higher weight n and suggesting the definition of tangent group TBn(k). These tangent groups develop the tangent to Goncharov’s complex for weight n.

Indexing Information

HJRS - X Category, Scopus, Web of Science - Science Citation Index Expanded (SCI)

Journal Quality Ranking

Impact Factor: 1.427

Recommended Citation

Siddiqui, R. (2019). Infinitesimal and tangent to polylogarithmic complexes for higher weight. AIMS Mathematics, 4 (4), 1248-1257. Retrieved from https://ir.iba.edu.pk/faculty-research-articles/168

Publication Status

Published