This article is concerned with a conjecture in representation theory which was formulated by Roger E. Howe of Yale University in the mid-1970s. Roger Howe has had a definitive impact on the development of mathematics in Singapore in the last 25 years. Indeed, no fewer than three of his former PhD students are currently on the faculty of the National University of Singapore (NUS), including its Provost (Prof Tan Eng Chye), its Head of Department (HOD) of Mathematics (Prof Zhu Chengbo) and one of its deputy HODs (Prof Lee Soo Teck). In addition, the work of at least three other mathematicians at NUS are closely related to and inspired by that of Howe, including Associate Professor Loke Hung Yean, Associate Professor Martin Weissman (at Yale-NUS College) and the author of this article. Having such a closely knitted group of researchers has helped propel Singapore to prominence as a center of research in representation theory.
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机译：本文涉及的是表示理论的一个猜想，该猜想是由耶鲁大学的Roger E. Howe在1970年代中期提出的。在过去的25年中，Roger Howe对新加坡数学的发展产生了决定性的影响。的确，他的前博士生中有不少于三名目前在新加坡国立大学（NUS）任教，包括其教务长（Tan Eng Chye教授），其数学系主任（HOD）（朱成波教授）。以及它的副HOD之一（李秀德教授）。此外，国大另外至少三位数学家的工作与豪大学的工作密切相关，并受到其启发，其中包括洛克·洪延副教授，马丁·魏斯曼副教授（耶鲁大学国立大学）和本文的作者。拥有如此紧密联系的研究人员小组有助于推动新加坡成为代表性理论研究的中心。
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