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Representations of Elementary Abelian p-Groups and Vector Bundles (Hardcover)
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Representations of Elementary Abelian p-Groups and Vector Bundles (Hardcover)
Series: Cambridge Tracts in Mathematics
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Questions about modular representation theory of finite groups can
often be reduced to elementary abelian subgroups. This is the first
book to offer a detailed study of the representation theory of
elementary abelian groups, bringing together information from many
papers and journals, as well as unpublished research. Special
attention is given to recent work on modules of constant Jordan
type, and the methods involve producing and examining vector
bundles on projective space and their Chern classes. Extensive
background material is provided, which will help the reader to
understand vector bundles and their Chern classes from an algebraic
point of view, and to apply this to modular representation theory
of elementary abelian groups. The final section, addressing
problems and directions for future research, will also help to
stimulate further developments in the subject. With no similar
books on the market, this will be an invaluable resource for
graduate students and researchers working in representation theory.
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