有限Heisenberg群とその表現
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(2) 北海道教育大学紀要（自然科学編）第68巻 第２号 Journal of Hokkaido University of Education（Natural Sciences）Vol. 68. No.2. 平 成 30 年 ２ 月 February, 2018. 有限Heisenberg群とその表現 菅 原 健 北海道教育大学教育学部札幌校数学教育専攻. On Finite Heisenberg Groups and Their Representations SUGAWARA Takesi Department of Mathematics Education, Sapporo Campus, Hokkaido University of Education. ABSTRACT We compute the traces of irreducible representations of Heisenberg group with arbitrary weight n. Then we prove the decomposition formula of tensor products of irreducible representations into irreducible ones. Next we prove the multiplication formula of algebraic theta functions by Mumford ([5]). As an example, we give the defining equations of elliptic 4 . curves with level structure 4. 1.
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