On the Complexity of Lie Algebras

Let U, V, W be finite dimensional vector spaces over a field k and let : U x V → W be a bilinear mapping. The (multiplieative) complexity L(~) of ~ is defined as the least r ∈~ such that there are linear forms Ul,...,u r , Vl,...,v r ∈ (U xV) and elements Wl,...,w r ∈ W satisfying r ~(x,y) = ~ Up(X,...

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Autores principales: Groote, Hans F. de, Heintz, Joos, Möhler, Stefan, Schmidt, Heinz
Formato: Objeto de conferencia
Lenguaje:Inglés
Publicado: 1987
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/137412
Aporte de:
id I19-R120-10915-137412
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Bilinear Mapping
Double Centralizer
Borel Subalgebra
spellingShingle Matemática
Bilinear Mapping
Double Centralizer
Borel Subalgebra
Groote, Hans F. de
Heintz, Joos
Möhler, Stefan
Schmidt, Heinz
On the Complexity of Lie Algebras
topic_facet Matemática
Bilinear Mapping
Double Centralizer
Borel Subalgebra
description Let U, V, W be finite dimensional vector spaces over a field k and let : U x V → W be a bilinear mapping. The (multiplieative) complexity L(~) of ~ is defined as the least r ∈~ such that there are linear forms Ul,...,u r , Vl,...,v r ∈ (U xV) and elements Wl,...,w r ∈ W satisfying r ~(x,y) = ~ Up(X,y) Vp(X,y) Wp for all (x~y) ∈ U× V .
format Objeto de conferencia
Objeto de conferencia
author Groote, Hans F. de
Heintz, Joos
Möhler, Stefan
Schmidt, Heinz
author_facet Groote, Hans F. de
Heintz, Joos
Möhler, Stefan
Schmidt, Heinz
author_sort Groote, Hans F. de
title On the Complexity of Lie Algebras
title_short On the Complexity of Lie Algebras
title_full On the Complexity of Lie Algebras
title_fullStr On the Complexity of Lie Algebras
title_full_unstemmed On the Complexity of Lie Algebras
title_sort on the complexity of lie algebras
publishDate 1987
url http://sedici.unlp.edu.ar/handle/10915/137412
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AT heintzjoos onthecomplexityofliealgebras
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AT schmidtheinz onthecomplexityofliealgebras
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