Add to ORKGWe classify, by means of the orthogonal group 7(R), all eight-dimensional real absolute-valued algebras with left unit, and we solve the isomorphism problem. We give an example of those algebras which contain no four-dimensional subalgebras and characterise with the use of the automorphism group those algebras which contain one. 2000 Mathematics Subject Classification: 17A35. 1. Introduction. On
Given a euclidean vector space V, a linear map η: V ∧ V → V is called dissident in case v, w, η(v∧w)...
In 1976, Onabe discovered that, in contrast to the Neukirch-Uchida results that were proved around t...
International audienceIn 1976, Onabe discovered that, in contrast to the Neukirch-Uchida results tha...
We classify, by means of the orthogonal group 7(R), all eight-dimensional real absolute-valued algeb...
We classify, by means of the orthogonal group 7(ℝ), all eight-dimensional real absolute-valued algeb...
A condition for when two eight-dimensional absolute valued algebras are isomorphic was given in [4]....
AbstractWe continue the study of the 8-dimensional real division algebras whose derivation algebra i...
This is a study of morphisms in the category of nite dimensional absolute valued algebras, whose cod...
We develop a structure theory for left division absolute valued algebras which shows, among other th...
AbstractAn absolute valued algebra is a non-zero real algebra that is equipped with a multiplicative...
An absolute valued algebra is a nonzero real algebra that is equipped with a multiplicative norm ||a...
Given a euclidean vector space V, a linear map η: V ∧ V → V is called dissident in case v, w, η(v∧w)...
Simple algebraic groups of type F4 defined over a field k are the full automorphism groups of Albert...
A composition algebra is a non-zero algebra endowed with a strictly non-degenerate, multiplicative q...
AbstractWe study two-graded absolute valued algebras. These are two-graded algebras satisfying the a...
Given a euclidean vector space V, a linear map η: V ∧ V → V is called dissident in case v, w, η(v∧w)...
In 1976, Onabe discovered that, in contrast to the Neukirch-Uchida results that were proved around t...
International audienceIn 1976, Onabe discovered that, in contrast to the Neukirch-Uchida results tha...
We classify, by means of the orthogonal group 7(R), all eight-dimensional real absolute-valued algeb...
We classify, by means of the orthogonal group 7(ℝ), all eight-dimensional real absolute-valued algeb...
A condition for when two eight-dimensional absolute valued algebras are isomorphic was given in [4]....
AbstractWe continue the study of the 8-dimensional real division algebras whose derivation algebra i...
This is a study of morphisms in the category of nite dimensional absolute valued algebras, whose cod...
We develop a structure theory for left division absolute valued algebras which shows, among other th...
AbstractAn absolute valued algebra is a non-zero real algebra that is equipped with a multiplicative...
An absolute valued algebra is a nonzero real algebra that is equipped with a multiplicative norm ||a...
Given a euclidean vector space V, a linear map η: V ∧ V → V is called dissident in case v, w, η(v∧w)...
Simple algebraic groups of type F4 defined over a field k are the full automorphism groups of Albert...
A composition algebra is a non-zero algebra endowed with a strictly non-degenerate, multiplicative q...
AbstractWe study two-graded absolute valued algebras. These are two-graded algebras satisfying the a...
Given a euclidean vector space V, a linear map η: V ∧ V → V is called dissident in case v, w, η(v∧w)...
In 1976, Onabe discovered that, in contrast to the Neukirch-Uchida results that were proved around t...
International audienceIn 1976, Onabe discovered that, in contrast to the Neukirch-Uchida results tha...