Symmetric quantum Weyl algebras

Rafael Díaz; Eddy Pariguan

doi:10.5802/ambp.192

Symmetric quantum Weyl algebras

Rafael Díaz
, Eddy Pariguan

Instituto Venezolano de Investigaciones Científicas
Universidad Central de Venezuela

Producción: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

We study the symmetric powers of four algebras: q-oscillator algebra, q-Weyl algebra, q-Weyl algebra and U(sl2). We provide explicit formulae as well as combinatorial interpretation for the normal coordinates of products of arbitrary elements in the above algebras.

Idioma original	Inglés
Páginas (desde-hasta)	187-203
Publicación	Annales mathématiques Blaise Pascal
Volumen	11
N.º	2
DOI	https://doi.org/10.5802/ambp.192
Estado	Publicada - 2004
Publicado de forma externa	Sí

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title = "Symmetric quantum Weyl algebras",

abstract = "We study the symmetric powers of four algebras: q-oscillator algebra, q-Weyl algebra, q-Weyl algebra and U(sl2). We provide explicit formulae as well as combinatorial interpretation for the normal coordinates of products of arbitrary elements in the above algebras.",

author = "Rafael D{\'i}az and Eddy Pariguan",

year = "2004",

doi = "10.5802/ambp.192",

language = "English",

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journal = "Annales math{\'e}matiques Blaise Pascal",

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DO - 10.5802/ambp.192

M3 - Article

SN - 1259-1734

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JO - Annales mathématiques Blaise Pascal

JF - Annales mathématiques Blaise Pascal

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Symmetric quantum Weyl algebras

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