On the algebra A(h,eta)(osp(2 vertical bar 2)((2))) and free boson representations

N MacKay; L Zhao

On the algebra A(h,eta)(osp(2 vertical bar 2)((2))) and free boson representations

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)	6313-6323
Number of pages	11
Journal	Journal of Physics A: Mathematical and General
Volume	34
Issue number	32
Publication status	Published - 17 Aug 2001

Keywords

INFINITE HOPF FAMILY
ELLIPTIC ALGEBRAS

Cite this

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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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T1 - On the algebra A(h,eta)(osp(2 vertical bar 2)((2))) and free boson representations

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AU - Zhao, L

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N2 - 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.

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.

KW - INFINITE HOPF FAMILY

KW - ELLIPTIC ALGEBRAS

M3 - Article

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EP - 6323

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

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