Introduction to the theory of formal groups /
The concept of formal Lie group was derived in a natural way from classical Lie theory by S. Bochner in 1946, for fields of characteristic 0. Its study over fields of characteristic p > 0 began in the early 1950's, when it was realized, through the work of Chevalley, that the familiar "...
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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton, FL :
CRC Press, Taylor and Francis Group,
2019.
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| Series: | Pure and applied mathematics ;
20 |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | The concept of formal Lie group was derived in a natural way from classical Lie theory by S. Bochner in 1946, for fields of characteristic 0. Its study over fields of characteristic p > 0 began in the early 1950's, when it was realized, through the work of Chevalley, that the familiar "dictionary" between Lie groups and Lie algebras completely broke down for Lie algebras of algebraic groups over such a field. This volume, starts with the concept of C-group for any category C (with products and final object), but the author's do not exploit it in its full generality. The book is meant to be introductory to the theory, and therefore the necessary background to its minimum possible level is minimised: no algebraic geometry and very little commutative algebra is required in chapters I to III, and the algebraic geometry used in chapter IV is limited to the Serre- Chevalley type (varieties over an algebraically closed field). |
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| Item Description: | "First published 1973 by Marcel Dekkar, Inc." |
| Physical Description: | 1 online resource (288 pages). |
| ISBN: | 9780367813154 0367813157 9781000715491 1000715493 9781000723311 1000723313 |