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Inside this Book – It is well known that the Killing form of an ideal J in L is the restriction to J of the Killing form of L. If L has non-degener- ate Killing form, the simple direct surmnands of Th. 1.1 are pairwise orthogonal with respect to this form. It follows that each m L^ has non- degenerate Killing form. Another property of algebras with non-degenerate Killing form is the following,
Inside this book –On Lie Algebras Of Prime Characteristic PDF Book by George B. Seligman – It might be mentioned that while the internal structure of algebras subject to our assumptions is fairly well determined, their behavior relative to representations and extensions displays properties which create special problems. For instance, each of them has a restricted rep- resentation which is not completely reducible . Recent unpublished work of C. W. Curtis on the Irreducible restricted representations has re- vealed further complications in that respect as well. It is to be hoped that part of the author’s debt to Professor Nathan Jacobson will be indicated by acknowledging the key steps in the argument for which he is responsible. Also very beneficial were several conversations with Professor Hans Finally, the author wishes to thank C. W. Curtis, V. H. Mills and H. C. Wang for reading the manuscript and for many helpful suggestions.
On Lie Algebras Of Prime Characteristic by George B. Seligman PDF : eBook Information
- Full Book Name – On Lie Algebras Of Prime Characteristic
- Author of this Book – George B. Seligman
- Language – English
- Book Genre – Characteristic, Abstract Algebra, Mathematics
- Download Format – PDF
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- eBook Pages –93
- Price – Free