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Maximal nilpotent subalgebras I: Nilradicals and Cartan subalgebras in associative algebras. With 428 exercises - Tapa blanda
Reseña del editor
During the author's doctorate time at the Christian-Albrechts-Universitat to Kiel, Salvatore Siciliano gave a stimulating talk in the upper seminar algebra theory about Cartan subalgebras in Lie algebra associates to associative algebra. This talk was the incentive for the author to analyze maximal nilpotent substructures of the Lie algebra associated to associative algebras. In the present work Siciliano's theory about Cartan subalgebras is worked off and expanded to different special associative algebra classes. In addition, a second maximal nilpotent substructure is analyzed: the nilradical. Within this analysis the main focus is to describe these substructure with the associative structure of the underlying algebra. This is successfully realized in this work. Numerous examples (like group algebras and Solomon (Tits-) algebras) illustrate the results to the reader. Within the numerous exercises these results can be applied by the reader to get a deeper insight in this theory.
Biografía del autor
Sven Bodo Wirsing was born in Neumunster in 1975. After graduating from high school at KKS in Itzehoe (with a focus on mathematics and physics), he studied mathematics with a minor in business administration (especially logistics) at CAU university in Kiel. He did his doctorate in 2005 on group and algebra theory. During his years of study in Kiel he gained experience in the analysis of interdisciplinary processes, which are reflected in different disciplines of algebra, such as group theory, representation theory, theory of Lie and associative algebras. From this experience, he also studied and analyzed the subject matter of the present work.
Since the end of his doctorate, Dr. Wirsing has been working as a senior IT consultant for logistics processes at a renowned IT consulting firm, where he is responsible for logistics optimization and maintenance. Since 2012, he has published several books on algebras.
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- EditorialAnchor Academic Publishing
- Año de publicación2016
- ISBN 10 3960671032
- ISBN 13 9783960671039
- EncuadernaciónTapa blanda
- Número de páginas244
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Maximal nilpotent subalgebras I: Nilradicals and Cartan subalgebras in associative algebras. With 428 exercises
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ISBN 10: 3960671032
ISBN 13: 9783960671039
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -During the author's doctorate time at the Christian-Albrechts-Universitat to Kiel Salvatore Siciliano gave a stimulating talk in the upper seminar algebra theory about Cartan subalgebras in Lie algebra associates to associative algebra. This talk was the incentive for the author to analyze maximal nilpotent substructures of the Lie algebra associated to associative algebras. In the present work Siciliano's theory about Cartan subalgebras is worked off and expanded to different special associative algebra classes. In addition, a second maximal nilpotent substructure is analyzed: the nilradical. Within this analysis the main focus is to describe these substructure with the associative structure of the underlying algebra. This is successfully realized in this work. Numerous examples (like group algebras and Solomon (Tits-) algebras) illustrate the results to the reader. Within the numerous exercises these results can be applied by the reader to get a deeper insight in this theory. 244 pp. Englisch. Nº de ref. del artículo: 9783960671039
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Maximal nilpotent subalgebras I: Nilradicals and Cartan subalgebras in associative algebras. With 428 exercises
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ISBN 13: 9783960671039
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Maximal nilpotent subalgebras I: Nilradicals and Cartan subalgebras in associative algebras. With 428 exercises
Publicado por
Anchor Academic Publishing, 2016
ISBN 10: 3960671032
ISBN 13: 9783960671039
Nuevo
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Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - During the author's doctorate time at the Christian-Albrechts-Universitat to Kiel Salvatore Siciliano gave a stimulating talk in the upper seminar algebra theory about Cartan subalgebras in Lie algebra associates to associative algebra. This talk was the incentive for the author to analyze maximal nilpotent substructures of the Lie algebra associated to associative algebras. In the present work Siciliano's theory about Cartan subalgebras is worked off and expanded to different special associative algebra classes. In addition, a second maximal nilpotent substructure is analyzed: the nilradical. Within this analysis the main focus is to describe these substructure with the associative structure of the underlying algebra. This is successfully realized in this work. Numerous examples (like group algebras and Solomon (Tits-) algebras) illustrate the results to the reader. Within the numerous exercises these results can be applied by the reader to get a deeper insight in this theory. Nº de ref. del artículo: 9783960671039
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Maximal nilpotent subalgebras I: Nilradicals and Cartan subalgebras in associative algebras. With 428 exercises
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Anchor Academic Publishing, 2016
ISBN 10: 3960671032
ISBN 13: 9783960671039
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. During the author s doctorate time at the Christian-Albrechts-Universitat to Kiel Salvatore Siciliano gave a stimulating talk in the upper seminar algebra theory about Cartan subalgebras in Lie algebra associates to associative algebra. This talk was the in. Nº de ref. del artículo: 151791598
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Maximal nilpotent subalgebras I: Nilradicals and Cartan subalgebras in associative algebras. With 428 exercises
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Anchor Academic Publishing, 2016
ISBN 10: 3960671032
ISBN 13: 9783960671039
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Maximal nilpotent subalgebras I Nilradicals and Cartan subalgebras in associative algebras With 428 exercises
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Maximal nilpotent subalgebras I Nilradicals and Cartan subalgebras in associative algebras With 428 exercises
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Maximal nilpotent subalgebras I: Nilradicals and Cartan subalgebras in associative algebras. With 428 exercises
Publicado por
Anchor Academic Publishing, 2016
ISBN 10: 3960671032
ISBN 13: 9783960671039
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