By C. M. Campbell, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal, G. C. Smith, G. Traustason
Teams St Andrews 2009 was once held within the collage of bathtub in August 2009 and this primary quantity of a two-volume booklet includes chosen papers from the foreign convention. 5 major lecture classes got on the convention, and articles in line with their lectures shape a considerable a part of the lawsuits. This quantity includes the contributions by means of Gerhard Hiss (RWTH Aachen) and Volodymyr Nekrashevych (Texas A&M). except the most audio system, refereed survey and examine articles have been contributed through different convention members. prepared in alphabetical order, those articles conceal a large spectrum of contemporary crew thought. The typical court cases of teams St Andrews meetings have supplied snapshots of the country of study in crew concept in the course of the prior 30 years. prior volumes have had a huge influence at the improvement of staff thought and it really is expected that this quantity can be both very important.
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Extra resources for Groups St Andrews 2009 in Bath: Volume 1
Math. 58 (1980), 37–64.  R. B. Howlett and G. I. Lehrer, On Harish-Chandra induction for modules of Levi subgroups, J. Algebra 165 (1994), 172–183.  J. E. Humphreys, Modular representations of classical Lie algebras and semi-simple groups, J. Algebra 19 (1971), 57–79.  J. E. Humphreys, Linear algebraic groups, Graduate Texts in Mathematics, No. 21, (Springer-Verlag, New York-Heidelberg 1975).  J. E. Humphreys, Modular representations of ﬁnite groups of Lie type, (CUP, Cambridge 2006).
3) are all non-negative. Hence the -modular decomposition numbers of all GLr (q), r ≥ 1, | q −1 determine the composition multiplicities of all polynomial Weyl modules of GLn (k). 4 Connections to symmetric group representations As for the Schur algebra, there are standard kSn - modules S λ , called ules, labelled by the partitions λ of n. The simple kSn -modules Dµ by the -regular partitions µ of n (no part of µ is repeated or more -modular decomposition numbers of Sn are the numbers [S λ : Dµ ].
Chapter 4 develops the theory of limit spaces of self-similar groups. We also show how iterated monodromy groups can be used to construct models of the Julia sets of dynamical systems. Examples of interesting iterated monodromy groups and their applications are collected in the last chapter of the paper.
Groups St Andrews 2009 in Bath: Volume 1 by C. M. Campbell, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal, G. C. Smith, G. Traustason