量子乘法的半直积和函数方程
Semidirect Products and Functional Equations for Quantum Multiplication
摘要：
量子整数[n]_q是多项式1 + q + q^2 +. + q^{n-1}，多项式序列{ [n]_q }_{n=1}^{ \infty }是函数方程f_{mn}（q）= f_m（q）f_n（q^m）的解。本文利用半群的半直积来产生函数方程族，从而推广了量子乘法的函数方程。
英文摘要：
The quantum integer [n]_q is the polynomial 1 + q + q^2 + ... + q^{n-1}, and the sequence of polynomials { [n]_q }_{n=1}^{\infty} is a solution of the functional equation f_{mn}(q) = f_m(q)f_n(q^m). In this paper, semidirect products of semigroups are used to produce families of functional equations that generalize the functional equation for quantum multiplication.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
