Algebras with Frobenius morphisms and quantum groups

在这个数字化的世界里，我们的生活比以往任何时候都更加依赖数学。计数和数字只是其中的一个例子。另一个是用于在线支付和交易的公钥代码。数学在这个技术主导的时代是非常重要的。这一建议是为了在澳大利亚开展高水平的数学研究。量子群的基础研究支撑着应用研究和某些领域，如量子力学和弦理论。量子群的某些结构太复杂了，即使是专业数学家也看不出来。一种可能的解释是使用有限域上的表示，这将使它更容易被计算机使用和访问。

In this digitalized world, our life relies on mathematics more than ever. Counting and numbers are just one example of this. Another is the public key codes for online payments and transactions. Mathematics is of enormous importance in this technology dominated age. This proposal is to carry out high level mathematical research in Australia. Basic research on quantum groups underpins applied research and certain areas such as quantum mechanics and string theory. Some structure of quantum groups is too complicated to be seen by even a professional mathematician. A possible interpretation by using representations over a finite field would make it more usable and accessible by computer.