On the algebra Ah,n (osp(2|2)(2)) and free boson representations

Niall MacKay; Liu Zhao

doi:10.1088/0305-4470/34/32/311

On the algebra Ah,n (osp(2|2)(2)) and free boson representations

Niall MacKay, Liu Zhao

Mathematics

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

Abstract

A two-parameter quantum deformation of the affine Lie superalgebra osp(2|2)(2) is introduced and studied in some detail. This algebra is the first example associated with nonsimply laced and twisted root systems of a quantum current algebra with the structure of a so-called infinite Hopf family of (super)algebras. A representation of this algebra at c = 1 is realized in the product Fock space of two commuting sets of Heisenberg algebras.

Original language	English
Pages (from-to)	6313-6324
Number of pages	12
Journal	Journal of Physics A: Mathematical and General
Volume	34
Issue number	32
DOIs	https://doi.org/10.1088/0305-4470/34/32/311
Publication status	Published - 2001

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10.1088/0305-4470/34/32/311

http://arxiv.org/abs/math.QA/0010050

Cite this

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title = "On the algebra Ah,n (osp(2|2)(2)) and free boson representations",

abstract = "A two-parameter quantum deformation of the affine Lie superalgebra osp(2|2)(2) is introduced and studied in some detail. This algebra is the first example associated with nonsimply laced and twisted root systems of a quantum current algebra with the structure of a so-called infinite Hopf family of (super)algebras. A representation of this algebra at c = 1 is realized in the product Fock space of two commuting sets of Heisenberg algebras.",

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AB - A two-parameter quantum deformation of the affine Lie superalgebra osp(2|2)(2) is introduced and studied in some detail. This algebra is the first example associated with nonsimply laced and twisted root systems of a quantum current algebra with the structure of a so-called infinite Hopf family of (super)algebras. A representation of this algebra at c = 1 is realized in the product Fock space of two commuting sets of Heisenberg algebras.

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DO - 10.1088/0305-4470/34/32/311

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JO - Journal of Physics A: Mathematical and General

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