Academic Journal
PROBLEMS OF CLASSIFYING ASSOCIATIVE OR LIE ALGEBRAS OVER A FIELD OF CHARACTERISTIC NOT TWO AND FINITE METABELIAN GROUPS ARE WILD
| العنوان: | PROBLEMS OF CLASSIFYING ASSOCIATIVE OR LIE ALGEBRAS OVER A FIELD OF CHARACTERISTIC NOT TWO AND FINITE METABELIAN GROUPS ARE WILD |
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| المؤلفون: | Genrich Belitskii, Andrii R. Dmytryshyn, Ruvim Lipyanski, Vladimir V. Sergeichuk, Arkady Tsurkov |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol18_pp516-529.pdf. |
| سنة النشر: | 2009 |
| المجموعة: | CiteSeerX |
| مصطلحات موضوعية: | Wild problems, Classification, Associative algebras, Lie algebras, Metabelian |
| الوصف: | Let F be a field of characteristic different from 2. It is shown that the problems of classifying (i) local commutative associative algebras over F with zero cube radical, (ii) Lie algebras over F with central commutator subalgebra of dimension 3, and (iii) finite p-groups of exponent p with central commutator subgroup of order p 3 are hopeless since each of them contains • the problem of classifying symmetric bilinear mappings U × U → V,or • the problem of classifying skew-symmetric bilinear mappings U × U → V, in which U and V are vector spaces over F (consisting of p elements for p-groups (iii)) and V is 3-dimensional. The latter two problems are hopeless since they are wild; i.e., each of them contains the problem of classifying pairs of matrices over F up to similarity. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.193.799; http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol18_pp516-529.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.193.799 http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol18_pp516-529.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.2A10EF7B |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |