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Representation theory of wreath products of finite groups

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This is an introduction to the representation theory of wreath products of finite groups. We also discuss in full details a couple of examples.

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References

  1. T. Ceccherini-Silberstein, F. Scarabotti, and F. Tolli, “Trees, wreath products and finite Gelfand pairs,” Adv. Math., 206, No. 2, 503–537 (2006).

    Article  MATH  MathSciNet  Google Scholar 

  2. T. Ceccherini-Silberstein, F. Scarabotti, and F. Tolli, “Finite Gelfand pairs and their applications to Probability and Statistics,” J. Math. Sci. (N.Y.), 141, No. 2, 1182–1229 (2007).

    Article  MATH  Google Scholar 

  3. T. Ceccherini-Silberstein, F. Scarabotti, and F. Tolli, Harmonic Analysis on Finite Groups. Representation Theory, Gelfand Pairs and Markov Chains., Cambridge Studies in Advanced Mathematics. Cambridge University Press. In press.

  4. T. Ceccherini-Silberstein, A. Machì, F. Scarabotti, and F. Tolli, “Induced representation and Mackey theory,” This volume.

  5. T. Ceccherini-Silberstein, F. Scarabotti, and F. Tolli, “Clifford Theory and Applications,” This volume.

  6. P. Diaconis, Group Representations in Probability and Statistics. Institute of Mathematical Statistics Lecture Notes—Monograph Series, 11, Institute of Mathematical Statistics, Hayward, CA (1988).

    MATH  Google Scholar 

  7. L. Geissinger, and D. Kinch, “Representations of the hyperoctahedral group,” J. Algebra, 53, 1–20 (1978).

    Article  MATH  MathSciNet  Google Scholar 

  8. B. Huppert, Character Theory of Finite Groups, De Gruyter Expositions in Mathematics, 25, Walter de Gruyter (1998).

  9. G. D. James, and A. Kerber, The Representation Theory of the Symmetric Group, Encyclopedia of Mathematics and its Applications, 16, Addison-Wesley, Reading, MA (1981).

    MATH  Google Scholar 

  10. A. Kerber, Applied Finite Group Actions, Algorithms and Combinatorics, 19, Springer-Verlag, Berlin (1999).

    MATH  Google Scholar 

  11. S. Lang, Algebra, Graduate Texts in Math., 211, Springer-Verlag, New York (2002).

    MATH  Google Scholar 

  12. J. H. van Lint, R. M. Wilson, A Course in Combinatorics, Cambridge University Press, Cambridge (2001).

    MATH  Google Scholar 

  13. B. E. Sagan, The Symmetric Group, Wadsworth & Brooks, Pacific Grove, CA (1991).

    MATH  Google Scholar 

  14. F. Scarabotti and F. Tolli, Harmonic analysis of finite lamplighter random walks, Preprint (2006).

  15. S. Sternberg, Group Theory and Physics, Cambridge University Press, Cambridge (1994).

    MATH  Google Scholar 

  16. H. Wielandt, Finite Permutation Groups, Academic Press, New York-London (1964).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Ingegneria, Università del Sannio, Benevento, Italy

    T. Ceccherini-Silberstein

  2. Dipartimento MeMoMat, Università degli Studi di Roma “La Sapienza”, Rome, Italy

    F. Scarabotti

  3. Dipartimento di Matematica, Università di Roma 3, Rome, Italy

    F. Tolli

Authors
  1. T. Ceccherini-Silberstein
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  2. F. Scarabotti
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  3. F. Tolli
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Corresponding author

Correspondence to T. Ceccherini-Silberstein.

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 50, Functional Analysis, 2007.

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Ceccherini-Silberstein, T., Scarabotti, F. & Tolli, F. Representation theory of wreath products of finite groups. J Math Sci 156, 44–55 (2009). https://doi.org/10.1007/s10958-008-9256-3

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  • DOI: https://doi.org/10.1007/s10958-008-9256-3

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