• 講演者 : 古谷 賢朗氏 (東京理科大学)
    • 題目 : Complete classification of pseudo $H$-type algebras and an application revisited
    • 日時 : 平成29年5月9日(火)16:30 -- 17:30

We consider a family of nilpotent Lie algebras attached to Clifford algebras and their ``admissible'' modules. These are called pseudo $H$-type algebras. Our purpose is to explain how to classify them and give a complete classification table (mod Bott periodicity). Then we mention an application to the construction of isospectral non-diffeomorphic family of nilmanifolds of arbitrary given number with respect to the both sense of the Laplacian and sub-Laplacian.

This is a joint work with prof. Irina Markina at University of Bergen, Norway.

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Last-modified: 2017-04-12 (水) 10:56:44 (192d)