Twisted fermionic and bosonic representations for a class of <italic>BC</italic>-graded Lie algebras

Fulin CHEN; Shaobin TAN

doi:10.1007/s11464-011-0147-4

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Front. Math. China ›› 2011, Vol. 6 ›› Issue (4) : 607-628. DOI: 10.1007/s11464-011-0147-4

RESEARCH ARTICLE

Twisted fermionic and bosonic representations for a class of BC-graded Lie algebras

Fulin CHEN ,
Shaobin TAN

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Abstract

In this paper, we study the fermionic and bosonic representations for a class of BC-graded Lie algebras coordinatized by skew Laurent polynomial rings. This generalizes the fermionic and bosonic constructions for the affine Kac-Moody algebras of type $A N (2)$ .

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Fermionic and bosonic representation / graded Lie algebra / unitary representation

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Fulin CHEN, Shaobin TAN. Twisted fermionic and bosonic representations for a class of BC-graded Lie algebras. Front Math Chin, 2011, 6(4): 607‒628 https://doi.org/10.1007/s11464-011-0147-4

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