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Lie Groups and Representation Theory Seminar

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Date: Oct 26 (Tue), 2021, 17:00-18:00
Speaker: Masatoshi Kitagawa (北川宜稔) (Waseda University)
Title: g-加群の一様有界族の分岐則への応用 / Applications of uniform bounded families of g-modules to branching problems
Abstract:
[ pdf ]
arXiv:2109.05556 において導入された g-加群の一様有界族を用いることで、いくつかの分岐則や誘導表現の重複度の有限性と一様有界性を示すことができる。 それらの結果を簡単に紹介した後、 arXiv:2109.05555で与えられた実簡約リー群の分岐則の場合の重複度の一様有界性の必要十分条件がどのように得られるかを解説する。

Using the notion of uniformly bounded families of g-modules introduced in arXiv:2109.05556, we can prove several finiteness and uniform boundedness results of multiplicities in branching laws and induced representations. After the introduction of such results, I will explain how to obtain the necessary and sufficient condition for the uniform boundedness of multiplicities in branching laws given in arXiv:2109.05555.

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