Representations of some quantum tori Lie subalgebras

Journal Article · Fri Mar 15 00:00:00 EDT 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4795350· OSTI ID:22162822

Jiang, Jingjing ^[1]; Wang, Song ^[2]

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1. College of Science, Civil Aviation University of China, Tianjin 300300 (China)
2. Department of Mathematics, Tongji University, Shanghai 200092 (China)

In this paper, we define the q-analog Virasoro-like Lie subalgebras in x{sub {infinity}}=a{sub {infinity}}(b{sub {infinity}}, c{sub {infinity}}, d{sub {infinity}}). The embedding formulas into x{sub {infinity}} are introduced. Irreducible highest weight representations of A(tilde sign){sub q}, B(tilde sign){sub q}, and C(tilde sign){sub q}-series of the q-analog Virasoro-like Lie algebras in terms of vertex operators are constructed. We also construct the polynomial representations of the A(tilde sign){sub q}, B(tilde sign){sub q}, C(tilde sign){sub q}, and D(tilde sign){sub q}-series of the q-analog Virasoro-like Lie algebras.

• OSTI ID: 22162822
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 3; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
LIE GROUPS
MATRICES
POLYNOMIALS
QUANTUM MECHANICS
TORI
WEIGHT