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张林 博士:Volumes of orthogonal groups and unitary groups

本站小编 Free考研考试/2021-12-26



Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 张林 博士,杭州电子科技大学
Inviter:
Title:
Volumes of orthogonal groups and unitary groups
Time & Venue:
2021.05.17 09:30-10:30 腾讯会议:976 675 526
Abstract:
The matrix integral has many applications in diverse fields. In this pedagogical talk, we begins by presenting detailed key background knowledge about matrix integral. Then the volumes of orthogonal groups and unitary groups are computed, respectively. As a unification, we present Mcdonald's volume formula for a compact Lie group. With this volume formula, one can easily derives the volumes of orthogonal groups and unitary groups. Applications are also presented as well. Specifically, the volume of the et of mixed quantum states is computed by using the volume of unitary group. The volume of a metric ball in unitary group is also computed as well.

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