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Schur Algebras and Representation Theory
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  • Cited by 3
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Hemmer, David 2012. Realizing large gaps in cohomology for symmetric group modules. Algebra & Number Theory, Vol. 6, Issue. 4, p. 825.


    Donkin, Stephen and Tange, Rudolf 2010. The Brauer algebra and the symplectic Schur algebra. Mathematische Zeitschrift, Vol. 265, Issue. 1, p. 187.


    Doty, Stephen and Walker, Grant 1996. Truncated symmetric powers and modular representations of GL n. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 119, Issue. 02, p. 231.


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    Schur Algebras and Representation Theory
    • Online ISBN: 9780511470899
    • Book DOI: https://doi.org/10.1017/CBO9780511470899
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Book description

The Schur algebra is an algebraic system providing a link between the representation theory of the symmetric and general linear groups (both finite and infinite). In the text Dr Martin gives a full, self-contained account of this algebra and these links, covering both the basic theory of Schur algebras and related areas. He discusses the usual representation-theoretic topics such as constructions of irreducible modules, the blocks containing them, their modular characters and the problem of computing decomposition numbers; moreover deeper properties such as the quasi-hereditariness of the Schur algebra are discussed. The opportunity is taken to give an account of quantum versions of Schur algebras and their relations with certain q-deformations of the coordinate rings of the general linear group. The approach is combinatorial where possible, making the presentation accessible to graduate students. This is the first comprehensive text in this important and active area of research; it will be of interest to all research workers in representation theory.

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