Unique Tensor Factorization of Algebras

Nüsken, Michael

Unique Tensor Factorization of Algebras

Dateien

preprint_076.pdfGröße: 1001.89 KBDownloads: 334

Datum

1998

Autor:innen

Nüsken, Michael

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Working Paper/Technical Report

Publikationsstatus

Published

Zusammenfassung

Tensor product decomposition of algebras is known to be non-unique in many cases. But, as will be shown here, an additively indecomposable, finite-dimensional C-algebra A has an essentially unique tensor factorization A=A1x...xAr into non-trivial, x-indecomposable factors Ai. Thus the semiring of isomorphism classes of finite-dimensional C-algebras is a polynomial semiring N[X]. Moreover, the field C of complex numbers can be replaced by an arbitrary field of characteristic zero if one restricts oneself to SCHURian algebras.

Fachgebiet (DDC)

004 Informatik

Zitieren

ISO 690

NÜSKEN, Michael, 1998. Unique Tensor Factorization of Algebras

BibTex

@techreport{Nusken1998Uniqu-6356,
  year={1998},
  series={Konstanzer Schriften in Mathematik und Informatik},
  title={Unique Tensor Factorization of Algebras},
  number={76},
  author={Nüsken, Michael}
}

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