Symmetric quantum Weyl algebras

Rafael Díaz; Eddy Pariguan

doi:10.5802/ambp.192

Symmetric quantum Weyl algebras

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

Acceder al documento

10.5802/ambp.192

Citar esto

@article{12285e74ccbc4a79834523928c64728d,

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",

volume = "11",

pages = "187--203",

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

issn = "1259-1734",

publisher = "Universite Clermont Auvergne",

number = "2",

}

TY - JOUR

T1 - Symmetric quantum Weyl algebras

AU - Díaz, Rafael

AU - Pariguan, Eddy

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

U2 - 10.5802/ambp.192

DO - 10.5802/ambp.192

M3 - Article

SN - 1259-1734

VL - 11

SP - 187

EP - 203

JO - Annales mathématiques Blaise Pascal

JF - Annales mathématiques Blaise Pascal

IS - 2

ER -

Symmetric quantum Weyl algebras

Resumen

Acceder al documento

Huella

Citar esto