Infinitesimal and tangent to polylogarithmic complexes for higher weight

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

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

Publication Status

Published

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