Geometriae Dedicata

, Volume 65, Issue 3, pp 313–321 | Cite as

Products of Quasi-Involutions in Unitary Groups



Given a regular -hermitian form on an n-dimensional vector space V over a commutative field K of characteristic ≠ 2 (\(n \in \mathbb{N} \)). 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.

unitary groups factorization quasi-involutions. 


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© Kluwer Academic Publishers 1997

Authors and Affiliations

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    • 1
  1. 1.Mathematisches Seminar derUniversität KielKielGermany

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