Products of quasi-involutions in unitary groups

Publikationstyp
Journal Article
Date Issued
1997-03
Sprache
English
Author(s)
Bünger, Florian  
Knüppel, Frieder  
TORE-URI
http://hdl.handle.net/11420/8762
Journal
Geometriae dedicata  
Volume
65
Issue
3
Start Page
313
End Page
321
Citation
Geometriae Dedicata 3 (65): 313-321 (1997-03)
Publisher DOI
10.1023/A:1004949119165
Scopus ID
2-s2.0-0042233134
Publisher
Kluwer
Given a regular - -hermitian form on an n-dimensional vector space V over a commutative field K of characteristic ≠ 2 (n ∈ ℕ). Call an element σ of the unitary group a quasi-involution if σ is a product of commuting quasi-symmetries (a quasi-symmetry is a unitary transformation with a regular (n - 1)-dimensional fixed space). In the special case of an orthogonal group every quasi-involution is an involution. Result: every unitary element is a product of five quasi-involutions. If K is algebraically closed then three quasi-involutions suffice.
Subjects
Factorization
Quasi-involutions
Unitary groups
DDC Class
004: Informatik
510: Mathematik