New reflection matrices for the Uq(gl(m|n))  case

Anastasia Doikou; Nikos Karaiskos

doi:10.1088/1742-5468/2009/09/L09004

New reflection matrices for the U_q(gl(m|n)) case

Anastasia Doikou, Nikos Karaiskos

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

7 Citations (Scopus)

Abstract

We examine super symmetric representations of the B-type Hecke algebra. We exploit such representations to obtain new non-diagonal solutions of the reflection equation associated to the super algebra U_q(gl(m|n)). The boundary super algebra is briefly discussed and it is shown to be central to the super symmetric realization of the B-type Hecke algebra

Original language	English
Article number	L09004
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2009
DOIs	https://doi.org/10.1088/1742-5468/2009/09/L09004
Publication status	Published - Sept 2009

Keywords

math-ph
hep-th
math.MP
nlin.SI

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10.1088/1742-5468/2009/09/L09004

Cite this

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title = "New reflection matrices for the Uq(gl(m|n)) case",

abstract = "We examine super symmetric representations of the B-type Hecke algebra. We exploit such representations to obtain new non-diagonal solutions of the reflection equation associated to the super algebra U_q(gl(m|n)). The boundary super algebra is briefly discussed and it is shown to be central to the super symmetric realization of the B-type Hecke algebra",

keywords = "math-ph, hep-th, math.MP, nlin.SI",

author = "Anastasia Doikou and Nikos Karaiskos",

note = "13 pages, Latex. A few alterations regarding the representations. A reference added",

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PY - 2009/9

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N2 - We examine super symmetric representations of the B-type Hecke algebra. We exploit such representations to obtain new non-diagonal solutions of the reflection equation associated to the super algebra U_q(gl(m|n)). The boundary super algebra is briefly discussed and it is shown to be central to the super symmetric realization of the B-type Hecke algebra

AB - We examine super symmetric representations of the B-type Hecke algebra. We exploit such representations to obtain new non-diagonal solutions of the reflection equation associated to the super algebra U_q(gl(m|n)). The boundary super algebra is briefly discussed and it is shown to be central to the super symmetric realization of the B-type Hecke algebra

KW - math-ph

KW - hep-th

KW - math.MP

KW - nlin.SI

U2 - 10.1088/1742-5468/2009/09/L09004

DO - 10.1088/1742-5468/2009/09/L09004

M3 - Article

SN - 1742-5468

VL - 2009

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

M1 - L09004

ER -

New reflection matrices for the Uq(gl(m|n)) case

Abstract

Keywords

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New reflection matrices for the U_q(gl(m|n)) case