We classify nilpotent associative algebras of dimensions up to 4 over any field. This isdone by constructing the nilpotent associative algebras as central extensions of algebrasof smaller dimension, analogous to methods known for nilpotent Lie algebras

Classification of nilpotent associative algebras of small dimension / De Graaf, Willem A.. - In: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. - ISSN 0218-1967. - STAMPA. - 2018, 28:1(2018), pp. 133-161. [10.1142/S0218196718500078]

Classification of nilpotent associative algebras of small dimension

De Graaf, Willem A.
2018-01-01

Abstract

We classify nilpotent associative algebras of dimensions up to 4 over any field. This isdone by constructing the nilpotent associative algebras as central extensions of algebrasof smaller dimension, analogous to methods known for nilpotent Lie algebras
2018
1
De Graaf, Willem A.
Classification of nilpotent associative algebras of small dimension / De Graaf, Willem A.. - In: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. - ISSN 0218-1967. - STAMPA. - 2018, 28:1(2018), pp. 133-161. [10.1142/S0218196718500078]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/203205
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