Cyclic Representations of Quantum (Super) Algebras At q<SUP>p</SUP>=1

FU Hong-Chen; GE Mo-Lin

Chinese Physics C> 1993, Vol. 17> Issue(8) : 700-709

Cyclic Representations of Quantum (Super) Algebras At q^p=1

FU Hong-Chen ^, ,
GE Mo-Lin

Theoretical Physics Division,Nankai Institute of Mathematics,Tianjin 300071

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Abstract：
Cyclic representations of quantum (super) algebras are studied at q^p=1 using two methods:the quotient module method and the q-boson realization method.For the quantum algebras associated with any finite dimensional simple Lie algebra the general theory of two methods is given,and is generated to the quantum superalgebra U_qosp(1.2).By constructing the cyclic representation of q-Heisenberg-Wey1 superalgebras the q-boson realization method is generated to construction of cyclic representations of some high-rank quantum superalgebras.

References

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FU Hong-Chen and GE Mo-Lin. Cyclic Representations of Quantum (Super) Algebras At q^p=1[J]. Chinese Physics C, 1993, 17(8): 700-709.

FU Hong-Chen and GE Mo-Lin. Cyclic Representations of Quantum (Super) Algebras At q^p=1[J]. Chinese Physics C, 1993, 17(8): 700-709. shu

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Received: 1900-01-01
Revised: 1900-01-01

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Cyclic Representations of Quantum (Super) Algebras At q^p=1

FU Hong-Chen ^,
GE Mo-Lin

Corresponding author: FU Hong-Chen,

Theoretical Physics Division,Nankai Institute of Mathematics,Tianjin 300071

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-08-05

Abstract: Cyclic representations of quantum (super) algebras are studied at q^p=1 using two methods:the quotient module method and the q-boson realization method.For the quantum algebras associated with any finite dimensional simple Lie algebra the general theory of two methods is given,and is generated to the quantum superalgebra U_qosp(1.2).By constructing the cyclic representation of q-Heisenberg-Wey1 superalgebras the q-boson realization method is generated to construction of cyclic representations of some high-rank quantum superalgebras.