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The Classical Groups and K-Theory by Alexander J. Hahn, J. Dieudonne, O. Timothy O'Meara - Paperback
850.50 AED

The Classical Groups and K-Theory by Alexander J. Hahn, J. Dieudonne, O. Timothy O'Meara - Paperback

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Category Type
Mathematics
ISBN
9783642057373
Author
Alexander J. Hahn, J. Dieudonne, O. Timothy O'Meara
Publisher
Springer
Description:

It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years. When H. Weyl coined the words "classical groups," foremost in his mind were their connections with invariant theory, which his famous book helped to revive. Although his approach in that book was deliberately algebraic, his interest in these ...

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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783642057373
    Languages
    English
    Item EAN
    2724437185113
    People
    Author
    Alexander J. Hahn, J. Dieudonne, O. Timothy O'Meara
    Category Type
    Mathematics
    ISBN
    9783642057373
    Languages
    English
    Item EAN
    2724437185113
    People
    Author
    Alexander J. Hahn, J. Dieudonne, O. Timothy O'Meara
    People
    Publisher
    Springer
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years. When H. Weyl coined the words "classical groups," foremost in his mind were their connections with invariant theory, which his famous book helped to

    It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years. When H. Weyl coined the words "classical groups," foremost in his mind were their connections with invariant theory, which his famous book helped to revive. Although his approach in that book was deliberately algebraic, his interest in these groups directly derived from his pioneering study of the special case in which the scalars are real or complex numbers, where for the first time he injected Topology into Lie theory. But ever since the definition of Lie groups, the analogy between simple classical groups over finite fields and simple classical groups over IR or C had been observed, even if the concept of "simplicity" was not quite the same in both cases. With the discovery of the exceptional simple complex Lie algebras by Killing and E. Cartan, it was natural to look for corresponding groups over finite fields, and already around 1900 this was done by Dickson for the exceptional Lie algebras G and E However, a deep reason for this 2 6 parallelism was missing, and it is only Chevalley who, in 1955 and 1961, discovered that to each complex simple Lie algebra corresponds, by a uniform process, a group scheme (fj over the ring Z of integers, from which, for any field K, could be derived a group (fj(K)

    Product Features:
    • Category: Mathematics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): Alexander J. Hahn, J. Dieudonne, O. Timothy O'Meara
    • Publisher: Springer
    • ISBN: 9783642057373
    • Number of Pages: 578
    • Dimensions: 9.21 x 6.14 x 1.21 inches
 

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