Ternary composition algebras and Hurwitz’s theorem

Journal of Mathematical Physics ◽

10.1063/1.528115 ◽

1988 ◽

Vol 29 (11) ◽

pp. 2329-2333 ◽

Cited By ~ 4

Author(s):

Ronald Shaw

Keyword(s):

Composition Algebras ◽

Hurwitz’S Theorem

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Composition Algebras. Hurwitz’s Theorem—Vector-Product Algebras

Graduate Texts in Mathematics - Numbers ◽

10.1007/978-1-4612-1005-4_13 ◽

1991 ◽

pp. 265-280

Author(s):

M. Koecher ◽

R. Remmert

Keyword(s):

Vector Product ◽

Composition Algebras ◽

Hurwitz’S Theorem

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Schwarz’s Lemma. Conformal Maps of the Unit Disk and the Upper Half-Plane. (Pre)-Compact Subsets of a Metric Space. Continuous Linear Functionals on H(D). Arzelà-Ascoli’s Theorem. Montel’s Theorem. Hurwitz’s Theorem

Springer Undergraduate Mathematics Series - Twenty-One Lectures on Complex Analysis ◽

10.1007/978-3-319-68170-2_18 ◽

2017 ◽

pp. 157-165

Author(s):

Alexander Isaev

Keyword(s):

Unit Disk ◽

Half Plane ◽

Metric Space ◽

Continuous Linear ◽

Linear Functionals ◽

Conformal Maps ◽

Montel’S Theorem ◽

Upper Half Plane ◽

Schwarz’S Lemma ◽

Hurwitz’S Theorem

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Composition algebras over rings of genus zero

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-99-01935-2 ◽

1999 ◽

Vol 351 (3) ◽

pp. 1277-1292 ◽

Cited By ~ 2

Author(s):

S. Pumplün

Keyword(s):

Genus Zero ◽

Composition Algebras

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An Easy Proof of Hurwitz's Theorem

American Mathematical Monthly ◽

10.1080/00029890.2002.11919929 ◽

2002 ◽

Vol 109 (10) ◽

pp. 916-918

Author(s):

Manuel Benito ◽

J. Javier Escribano

Keyword(s):

Easy Proof ◽

Hurwitz’S Theorem

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Composition Algebras

Springer Monographs in Mathematics - Octonions, Jordan Algebras and Exceptional Groups ◽

10.1007/978-3-662-12622-6_1 ◽

2000 ◽

pp. 1-23

Author(s):

Tonny A. Springer ◽

Ferdinand D. Veldkamp

Keyword(s):

Composition Algebras

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On Power Associative Composition Algebras

Non-Associative Algebra and Its Applications ◽

10.1007/978-94-011-0990-1_54 ◽

1994 ◽

pp. 330-333 ◽

Cited By ~ 3

Author(s):

José María Pérez

Keyword(s):

Composition Algebras

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Composition algebras

Lie Groups and Lie Algebras ◽

10.1093/acprof:oso/9780199662920.003.0009 ◽

2012 ◽

pp. 74-83

Author(s):

Adam M. Bincer

Keyword(s):

Composition Algebras

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Composition algebras over the projective line

Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal’cev - Contemporary Mathematics ◽

10.1090/conm/131.2/1175864 ◽

1992 ◽

pp. 673-678 ◽

Cited By ~ 1

Author(s):

Holger P. Petersson

Keyword(s):

Projective Line ◽

Composition Algebras

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Representations as elements in affine composition algebras

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-00-02613-1 ◽

2000 ◽

Vol 353 (3) ◽

pp. 1221-1249 ◽

Cited By ~ 5

Author(s):

Pu Zhang

Keyword(s):

Composition Algebras

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Gröbner-Shirshov Basis of Twisted Generic Composition Algebras of Affine Type

Algebra Colloquium ◽

10.1142/s1005386717000074 ◽

2017 ◽

Vol 24 (01) ◽

pp. 109-122

Author(s):

Gulshadam Yunus ◽

Abdukadir Obul

Keyword(s):

Indecomposable Representations ◽

Generic Composition ◽

Composition Algebras ◽

Affine Type

In this paper, by using PBW bases for the twisted generic composition algebras of affine type, we prove that the set of the skew-commutator relations of the iso-classes of indecomposable representations forms a minimal Gröbner-Shirshov basis for the twisted generic composition algebras of affine type.

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