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

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

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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

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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",

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

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AU - Rowen, L. H.

AU - Tignol, J. P.

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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.

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Division algebras of degree 4 and 8 with involution

Abstract

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