0312321 - MÚ 2009 RIV SG eng C - Conference Paper (international conference)
Vanžura, Jiří
Special n-forms on a 2n-dimensional vector space.
[Speciální n-formy v prostoru dimenze 2n.]
Differential Geometry and its Applications. Singapore: World Scientific, 2008 - (Kowalski, O.; Krupka, D.; Krupkova, O.; Slovák, J.), s. 353-370. ISBN 981-279-060-8.
[International Conference on Differential Geometry and its Applications/10./. Olomouc (CZ), 27.08.2007-31.08.2007]
R&D Projects: GA AV ČR IAA100190701
Institutional research plan: CEZ:AV0Z10190503
Keywords : 2n-dimensional vector space * n-form * automorphism group of an n-form
Subject RIV: BA - General Mathematics

The configuration of regular 3-forms in dimension 6 is generalized to n-forms in dimension 2n. The algebras of paracomplex, and dual numbers are systematically used. The automorphism groups of all forms are determined.

Znalost rozmístění 3-forem v dimenzi 6 je rozšířena na n-formy v dimenzi 2n. Systematicky se užívají algebry komplexních, parakomplexních a duálních čísel. Jsou určeny grupy automorfismů uvažovaných n-forem.
Permanent Link: http://hdl.handle.net/11104/0163412