Division algebras of degree 4 and 8 with involution

S. A. Amitsur; L. H. Rowen; J. P. Tignol

doi:10.1090/S0273-0979-1979-14672-X

Division algebras of degree 4 and 8 with involution

S. A. Amitsur
, L. H. Rowen
, J. P. Tignol

Department of Mathematics

Hebrew University of Jerusalem
Bar-Ilan University
Université catholique de Louvain

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

2 Scopus citations

Abstract

Examples are given of division algebras with involution (*) of the first kind, one of degree 8 which is not a tensor product of quaternion subalgebras, the other of degree 4 which is not a tensor product of (*)-invariant quaternion subalgebras.

Original language	English
Pages (from-to)	691-693
Number of pages	3
Journal	Bulletin of the American Mathematical Society
Volume	1
Issue number	4
DOIs	https://doi.org/10.1090/S0273-0979-1979-14672-X
State	Published - Jul 1979

Access to Document

10.1090/S0273-0979-1979-14672-X

Cite this

@article{a42f6bc5fcbf451fa33a9875edc4f66e,

title = "Division algebras of degree 4 and 8 with involution",

abstract = "Examples are given of division algebras with involution (*) of the first kind, one of degree 8 which is not a tensor product of quaternion subalgebras, the other of degree 4 which is not a tensor product of (*)-invariant quaternion subalgebras.",

author = "Amitsur, \{S. A.\} and Rowen, \{L. H.\} and Tignol, \{J. P.\}",

year = "1979",

month = jul,

doi = "10.1090/S0273-0979-1979-14672-X",

language = "אנגלית",

volume = "1",

pages = "691--693",

journal = "Bulletin of the American Mathematical Society",

issn = "0273-0979",

publisher = "American Mathematical Society",

number = "4",

}

TY - JOUR

T1 - Division algebras of degree 4 and 8 with involution

AU - Amitsur, S. A.

AU - Rowen, L. H.

AU - Tignol, J. P.

PY - 1979/7

Y1 - 1979/7

N2 - Examples are given of division algebras with involution (*) of the first kind, one of degree 8 which is not a tensor product of quaternion subalgebras, the other of degree 4 which is not a tensor product of (*)-invariant quaternion subalgebras.

AB - Examples are given of division algebras with involution (*) of the first kind, one of degree 8 which is not a tensor product of quaternion subalgebras, the other of degree 4 which is not a tensor product of (*)-invariant quaternion subalgebras.

UR - https://www.scopus.com/pages/publications/84966235535

U2 - 10.1090/S0273-0979-1979-14672-X

DO - 10.1090/S0273-0979-1979-14672-X

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84966235535

SN - 0273-0979

VL - 1

SP - 691

EP - 693

JO - Bulletin of the American Mathematical Society

JF - Bulletin of the American Mathematical Society

IS - 4

ER -

Division algebras of degree 4 and 8 with involution

Abstract

Access to Document

Other files and links

Fingerprint

Cite this