Problems of classifying associative or Lie algebras over a field of characteristic not two and finite metabelian groups are wild

DOI10.13001/1081-3810.1329zbMath1237.16014OpenAlexW2168310387WikidataQ115239087 ScholiaQ115239087MaRDI QIDQ3559056

Genrich Belitskii, Arkady Tsurkov, Andrii Dmytryshyn, Vladimir V. Sergeichuk, Ruvim Lipyanski

Publication date: 11 May 2010

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ELA/ela-articles/abstracts/abs_vol18_pp516-529.pdf

zbMATH Keywords

finite \(p\)-groups wild problems symmetric bilinear mappings

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of associative Artinian rings (16G10) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30) Canonical forms, reductions, classification (15A21)

Related Items (7)

On the problem of classifying solvable Lie algebras having small codimensional derived algebras ⋮ Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras ⋮ Unnamed Item ⋮ Congruence of matrix spaces, matrix tuples, and multilinear maps ⋮ A fast isomorphism test for groups whose Lie algebra has genus 2 ⋮ On Borel complexity of the isomorphism problems for graph related classes of Lie algebras and finite p-groups ⋮ Indecomposable and isomorphic objects in the category of monomial matrices over a local ring

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