We show that there is a quantum Sl_q(2) group symmetry in Hofstadter problem on square lattice.The cyclic representation of the quantum group is discussed and its application for computing the degeneracy density of th...We show that there is a quantum Sl_q(2) group symmetry in Hofstadter problem on square lattice.The cyclic representation of the quantum group is discussed and its application for computing the degeneracy density of the model is shown.展开更多
This is the last in a series of three articles studying some quadratic algebras related to quantized matrix algebras. Here we determine the full set of so\|called cyclic representations of the quantized matrix algebra...This is the last in a series of three articles studying some quadratic algebras related to quantized matrix algebras. Here we determine the full set of so\|called cyclic representations of the quantized matrix algebra M\-q(3). These are irreducible representations in which all generators are invertible and the assumption on q is that it is a primitive m\|th root of 1, with m≥3.展开更多
文摘We show that there is a quantum Sl_q(2) group symmetry in Hofstadter problem on square lattice.The cyclic representation of the quantum group is discussed and its application for computing the degeneracy density of the model is shown.
基金Supported by the National Natural Science Foundationof China(No.194 0 10 2 1)
文摘This is the last in a series of three articles studying some quadratic algebras related to quantized matrix algebras. Here we determine the full set of so\|called cyclic representations of the quantized matrix algebra M\-q(3). These are irreducible representations in which all generators are invertible and the assumption on q is that it is a primitive m\|th root of 1, with m≥3.
