References of "Kreusch, Marie"
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See detailPeriodicity of the algebras O_n and O_{p,q}
Kreusch, Marie ULg

E-print/Working paper (2014)

We study a series of complex (resp. real) non-associative algebras O_n (resp. O_{p,q}) characterized by a cubic form over the field Z_2. Continuing the work of classification, we establish a periodicity ... [more ▼]

We study a series of complex (resp. real) non-associative algebras O_n (resp. O_{p,q}) characterized by a cubic form over the field Z_2. Continuing the work of classification, we establish a periodicity for the algebras O_n and O_{p,q} similar to that of the Clifford algebras Cl_n and Cl_{p,q} excluded the exceptional algebras O_{n,0} and O_{0,n}. [less ▲]

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See detailClassification of the algebras $\mathbb{O}_{p,q}$
Kreusch, Marie ULg; Morier-Genoud, Sophie

E-print/Working paper (2013)

We study a series of real nonassociative algebras $O_{p,q}$ introduced in [5]. These algebras have a natural $Z^n_2$-grading, where $n = p + q$, and they are characterized by a cubic form over the field $Z ... [more ▼]

We study a series of real nonassociative algebras $O_{p,q}$ introduced in [5]. These algebras have a natural $Z^n_2$-grading, where $n = p + q$, and they are characterized by a cubic form over the field $Z_2$. We establish all the possible isomorphisms between the algebras $O_{p,q}$ preserving the structure of $Z^n_2$-graded algebra. The classification table of $O_{p,q}$ is quite similar to that of the real Clifford algebras $Cl_{p,q}$, the main difference is that the algebras $O_{n,0}$ and $O_{0,n}$ are exceptional. [less ▲]

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See detailAu delà des nombres réels
Kreusch, Marie ULg

Poster (2013, June)

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See detailExtensions of Superalgebras of Krichever-Novikov type
Kreusch, Marie ULg

Poster (2013, April)

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See detailExtensions of superalgebras of Krichever-Novikov type
Kreusch, Marie ULg

Conference (2013, January 15)

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Peer Reviewed
See detailExtensions of superalgebras of Krichever-Novikov type
Kreusch, Marie ULg

E-print/Working paper (2012)

An explicit construction of central extensions of Lie superalgebras of Krichever-Novikov type is given. In the case of Jordan superalgebras related to the superalgebras of Krichever-Novikov type we ... [more ▼]

An explicit construction of central extensions of Lie superalgebras of Krichever-Novikov type is given. In the case of Jordan superalgebras related to the superalgebras of Krichever-Novikov type we calculate a 1-cocycle with coefficients in the dual space. [less ▲]

Detailed reference viewed: 51 (15 ULg)