WEIGHTS OF PARTITIONS
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Date
2013
Authors
Султамуратов Р.С.
Journal Title
Journal ISSN
Volume Title
Publisher
faculty of engineering and natural sciences
Abstract
Studying Sn-module structure of any algebra is the one of the most important problem in algebra. The weight function gives a good classification of Sn-module structure of Novikov algebras. Image ofweight function defines which Specht modules appear in the algebra, moreover, it is a good tool to determine isomorphism between submodules of Novikov algebras and permutation modules. The main part of diploma gives some usefull and interesting properties of weight function. It is defined that if the great common divisor of all parts of a partition is more that one then the partition does not belong to the set of image of the weight. Also, it is found a criteria minimal element with respect to dominance order in the image of weight. That gives huge help to define admissible partitions. However, there remain some important questions in studying this function.
Description
Keywords
Sn-module, Novikov, Partition of natural n into k different parts
Citation
Султамуратов Р.С / WEIGHTS OF PARTITIONS / 6M060100 - математика / 2013