Products of quasi-involutions in unitary groups

Publikationstyp
Journal Article
Publikationsdatum
1997-03
Sprache
English
Author
Bünger, Florian 
Knüppel, Frieder 
TORE-URI
http://hdl.handle.net/11420/8762
Enthalten in
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.
Schlagworte
Factorization
Quasi-involutions
Unitary groups
DDC Class
004: Informatik
510: Mathematik