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Chuang, J.; Tan, K. M. (2001)
Languages: English
Types: Article
Subjects: QA

Classified by OpenAIRE into

arxiv: Mathematics::Representation Theory, Mathematics::Rings and Algebras
In this paper, what is already known about defect 2 blocks of symmetric groups is used to deduce information about the corresponding blocks of Schur algebras. This information includes Ext-quivers and decomposition numbers, as well as Loewy structures of the Weyl modules, principal indecomposable modules and tilting modules.
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    • [1] J. Chuang and K. M. Tan, `On Young modules of defect 2 blocks of symmetric group algebras', J. Algebra, to appear.
    • [2] S. Donkin, `On Schur algebras and related algebras, II', J. Algebra 111 (1987) 354{ 364.
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    • [5] G. D. James, `Trivial source modules for symmetric groups', Arch. Math. (Basel) 41 (1983) 294{300.
    • [6] G. D. James, The representation theory of the symmetric groups , Lecture Notes in Mathematics 682 (Springer-Verlag, Berlin, 1978).
    • [7] G. D. James and A. Kerber, The representation theory of the symmetric group, Encyclop dia of Mathematics and its Applications 16 (Addison-Wesley, Reading, Mass., 1981).
    • [8] S. Martin, Schur algebras and representation theory , Cambridge Tracts in Mathematics 112 (Cambridge Univ. Press, Cambridge, 1993).
    • [9] M. J. Richards, `Some decomposition numbers for Hecke algebras of general linear groups', Math. Proc. Cambridge Philos. Soc. 119 (1996) 383{402.
    • [10] J. C. Scopes, `Symmetric group blocks of defect two', Quart. J. Math. Oxford (2) 46 (1995) 201{234.
    • St John's College, Oxford OX1 3JP, United Kingdom. E-mail address: Department of Mathematics, National University Of Singapore, Lower Kent Ridge Road, Singapore 119260. E-mail address:
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