Representations of complex tori and GL(2, C)
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How to Cite

Ye, S. (2024). Representations of complex tori and GL(2, C). Columbia Journal of Undergraduate Mathematics, 1(1). Retrieved from https://journals.library.columbia.edu/index.php/cjum/article/view/12908

Abstract

Groups and their representations have been studied for a long time. One can extend the notion of a group by asking the group axioms to hold in other categories. A group in the category of smooth manifolds is a Lie group, and a group in the category of algebraic varieties is an algebraic group. In this paper, we discuss the representation theory of algebraic groups, in particular complex tori and GL(2,C).

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Copyright (c) 2024 Songyu Ye