An Easily Computable Invariant of Trilinear Alternating Forms

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41310%2F11%3A50500" target="_blank" >RIV/60460709:41310/11:50500 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

An Easily Computable Invariant of Trilinear Alternating Forms

Original language description

We show that number of system of k paralel triples in the definition of a trilinear alternating form with respect to a basis B is modulo 2 an invariant of the form in the case the underlying vector space of dimension 3k is over the two-element field. Values of this invariant can thus be computed only from the values on the basis vector. If its value is equal to 1, the form is nondegenerate (regular). Moreover, it is possible to extend this invariant to the cased dim V=3k+1.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Acta Universitatis Carolinae: Mathematica et Physica

ISSN

0001-7140

e-ISSN

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Volume of the periodical

51

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

7

Pages from-to

9-15

UT code for WoS article

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EID of the result in the Scopus database

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