Commuting quantum traces for quadratic algebras

Zoltán Nagy; Jean Avan; Anastasia Doikou; Geneviève Rollet

doi:10.1063/1.2007587

Commuting quantum traces for quadratic algebras

Zoltán Nagy, Jean Avan, Anastasia Doikou, Geneviève Rollet

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Consistent tensor products on auxiliary spaces, hereafter denoted "fusion procedures", are defined for general quadratic algebras, non-dynamical and dynamical, inspired by results on reflection algebras. Applications of these procedures then yield integer-indexed families of commuting Hamiltonians.

Original language	English
Article number	083516
Journal	Journal of Mathematical Physics
Volume	46
Issue number	8
DOIs	https://doi.org/10.1063/1.2007587
Publication status	Published - Aug 2005

Keywords

math.QA
hep-th
math-ph
math.MP
nlin.SI
81R50,16W30,17B37

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10.1063/1.2007587

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title = "Commuting quantum traces for quadratic algebras",

abstract = "Consistent tensor products on auxiliary spaces, hereafter denoted {"}fusion procedures{"}, are defined for general quadratic algebras, non-dynamical and dynamical, inspired by results on reflection algebras. Applications of these procedures then yield integer-indexed families of commuting Hamiltonians.",

keywords = "math.QA, hep-th, math-ph, math.MP, nlin.SI, 81R50,16W30,17B37",

author = "Zolt{\'a}n Nagy and Jean Avan and Anastasia Doikou and Genevi{\`e}ve Rollet",

note = "Latex, 28 pages, no figures; v2: 35 pages, added a section on a third type of algebra",

year = "2005",

month = aug,

doi = "10.1063/1.2007587",

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journal = "Journal of Mathematical Physics",

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publisher = "American Institute of Physics",

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AU - Nagy, Zoltán

AU - Avan, Jean

AU - Doikou, Anastasia

AU - Rollet, Geneviève

N1 - Latex, 28 pages, no figures; v2: 35 pages, added a section on a third type of algebra

PY - 2005/8

Y1 - 2005/8

N2 - Consistent tensor products on auxiliary spaces, hereafter denoted "fusion procedures", are defined for general quadratic algebras, non-dynamical and dynamical, inspired by results on reflection algebras. Applications of these procedures then yield integer-indexed families of commuting Hamiltonians.

AB - Consistent tensor products on auxiliary spaces, hereafter denoted "fusion procedures", are defined for general quadratic algebras, non-dynamical and dynamical, inspired by results on reflection algebras. Applications of these procedures then yield integer-indexed families of commuting Hamiltonians.

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KW - hep-th

KW - math-ph

KW - math.MP

KW - nlin.SI

KW - 81R50,16W30,17B37

U2 - 10.1063/1.2007587

DO - 10.1063/1.2007587

M3 - Article

SN - 0022-2488

VL - 46

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 8

M1 - 083516

ER -

Commuting quantum traces for quadratic algebras

Abstract

Keywords

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