Composition Algebras

Algebra and Applications 1 ◽

10.1002/9781119818175.ch2 ◽

2021 ◽

pp. 27-57

Author(s):

Alberto Elduque

Keyword(s):

Composition Algebras

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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 ◽

Author(s):

S. Pumplün

Keyword(s):

Composition Algebras

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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 ◽

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 ◽

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 ◽

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 ◽

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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Symmetric composition algebras over algebraic varieties

manuscripta mathematica ◽

10.1007/s00229-010-0348-2 ◽

2010 ◽

Vol 132 (3-4) ◽

pp. 307-333

Author(s):

Susanne Pumplün

Keyword(s):

Algebraic Varieties ◽

Composition Algebras

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Composition algebras over algebraic curves of genus zero

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1993-1108613-x ◽

1993 ◽

Vol 337 (1) ◽

pp. 473-493 ◽

Author(s):

Holger P. Petersson

Keyword(s):

Algebraic Curves ◽

Composition Algebras

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STRUCTURABLE ALGEBRAS AND MODELS OF COMPACT SIMPLE KANTOR TRIPLE SYSTEMS DEFINED ON TENSOR PRODUCTS OF COMPOSITION ALGEBRAS

Communications in Algebra ◽

10.1081/agb-200047437 ◽

2005 ◽

Vol 33 (2) ◽

pp. 549-558 ◽

Author(s):

Daniel Mondoc

Keyword(s):

Tensor Products ◽

Triple Systems ◽

Composition Algebras

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