Double Cosets of Stabilizers of Totally Isotropic Subspaces in a Special Unitary Group. I
- 作者: Gordeev N.1, Rehmann U.2
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隶属关系:
- St.Petersburg State University
- Bielefeld University
- 期: 卷 232, 编号 5 (2018)
- 页面: 647-661
- 栏目: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/241382
- DOI: https://doi.org/10.1007/s10958-018-3895-9
- ID: 241382
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详细
Let D be a division algebra with a fixed involution, and let V be the corresponding unitary space over D with T -condition (see N. Bourbaki, Algèbre). For a pair of totally isotropic subspaces u, v ≤ V, the double cosets PuγPv of their stabilizers Pu, Pv in Γ = SU(V ) are considered. A description of the cosets PuγPv in terms of the intersection distance din(u, γ(v)) and the Witt index of u + γ(v) is given.
作者简介
N. Gordeev
St.Petersburg State University
编辑信件的主要联系方式.
Email: nickgordeev@mail.ru
俄罗斯联邦, St.Petersburg
U. Rehmann
Bielefeld University
Email: nickgordeev@mail.ru
德国, Bielefeld
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