Artículo

The Lie algebra of derivations of a current Lie algebra

Ochoa Arango, Jesús Alonso; Rojas, Nadina ElizabethIcon
Fecha de publicación: 09/2019
Editorial: Taylor & Francis
Revista: Communications In Algebra
ISSN: 0092-7872
e-ISSN: 1532-4125
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

Let K be a field of characteristic zero, g be a finite dimensional K-Lie algebra and let A be a finite dimensional associative and commutative K-algebra with unit. We describe the structure of the Lie algebra of derivations of the current Lie algebra (Formula presented.), denoted by Der(gA). Furthermore, we obtain the Levi decomposition of Der(gA. As a consequence of the last result, if hm is the Heisenberg Lie algebra of dimension 2m + 1, we obtain a faithful representation of Der(hm,k of the current truncated Heisenberg Lie algebra (Formula presented.) for all positive integer k.
Palabras clave: AUTOMORPHISM GROUP , CURRENT LIE ALGEBRA , DERIVATION ALGEBRA , HEISENBERG LIE ALGEBRA , LEVI’S DECOMPOSITION , RADICAL
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/119678
DOI: http://dx.doi.org/10.1080/00927872.2019.1654490
URL: https://www.tandfonline.com/doi/full/10.1080/00927872.2019.1654490
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Ochoa Arango, Jesús Alonso; Rojas, Nadina Elizabeth; The Lie algebra of derivations of a current Lie algebra; Taylor & Francis; Communications In Algebra; 48; 2; 9-2019; 625-637
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