On homogeneous standard integral table algebras of degree 4

Z. Arad; Y. Erez; M. Muzychuk

doi:10.1080/00927870500387572

On homogeneous standard integral table algebras of degree 4

Z. Arad, Y. Erez, M. Muzychuk

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this paper we classify, up to exact isomorphism, the algebras in the title which contain a faithful element and in which every non-trivial table subset has dimension at least five.

Original language	English
Pages (from-to)	463-519
Number of pages	57
Journal	Communications in Algebra
Volume	34
Issue number	2
DOIs	https://doi.org/10.1080/00927870500387572
State	Published - 1 Jan 2006
Externally published	Yes

Keywords

Group algebras
Integral table algebras
Schur rings
Universal covering

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870500387572

Cite this

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title = "On homogeneous standard integral table algebras of degree 4",

abstract = "In this paper we classify, up to exact isomorphism, the algebras in the title which contain a faithful element and in which every non-trivial table subset has dimension at least five.",

keywords = "Group algebras, Integral table algebras, Schur rings, Universal covering",

author = "Z. Arad and Y. Erez and M. Muzychuk",

note = "Funding Information: M. Muzychuk was partially supported by the Israeli Ministry of Absorption. The authors would like to thank the anonymous referee for valuable remarks and corrections.",

year = "2006",

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doi = "10.1080/00927870500387572",

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T1 - On homogeneous standard integral table algebras of degree 4

AU - Arad, Z.

AU - Erez, Y.

AU - Muzychuk, M.

N1 - Funding Information: M. Muzychuk was partially supported by the Israeli Ministry of Absorption. The authors would like to thank the anonymous referee for valuable remarks and corrections.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - In this paper we classify, up to exact isomorphism, the algebras in the title which contain a faithful element and in which every non-trivial table subset has dimension at least five.

AB - In this paper we classify, up to exact isomorphism, the algebras in the title which contain a faithful element and in which every non-trivial table subset has dimension at least five.

KW - Group algebras

KW - Integral table algebras

KW - Schur rings

KW - Universal covering

UR - https://www.scopus.com/pages/publications/33644663667

U2 - 10.1080/00927870500387572

DO - 10.1080/00927870500387572

M3 - Article

AN - SCOPUS:33644663667

SN - 0092-7872

VL - 34

SP - 463

EP - 519

JO - Communications in Algebra

JF - Communications in Algebra

IS - 2

ER -

On homogeneous standard integral table algebras of degree 4

Abstract

Keywords

ASJC Scopus subject areas

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