Products of reflections in the quaternionic unitary group

DOI10.1016/0021-8693(79)90136-4zbMath0416.20037OpenAlexW1980177686MaRDI QIDQ754295

Dragomir Ž. Djoković, Jerry Malzan

Publication date: 1979

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90136-4

zbMATH Keywords

product of reflectionsreflections in the quaternionic unitary groupright quaternionic vector spaceunitary group of a positive definite hermitian form

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) General binary quadratic forms (11E16)

Related Items (4)

Reversible quaternionic hyperbolic isometries ⋮ Products of reflections in the general linear group over a division ring ⋮ Relations between reflections in the unitary group and Hermitian hyperquadrics in the complex projective space ⋮ The reflection length of a transformation in the unitary group over a finite field

Cites Work

• Decomposition of matrices into simple involutions
• Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries
• Products of Reflections in the Unitary Group

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