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Dr. Christian Ikenmeyer
- © Christian Ikenmeyer
University of Liverpool
Department of Computer Science
Ashton Building, Office 311
Ashton Street, Liverpool, L69 3BX
United Kingdom Persönliche Homepage
http://pcwww.liv.ac.uk/~iken/
Publikationen in der Arbeitsgruppe
| Zitatschlüssel | BCI-Nonvanishing-Of-Kronecker-Coefficients-For-Rectangular-Shapes |
|---|---|
| Autor | Peter Bürgisser and Matthias Christandl and Christian Ikenmeyer |
| Seiten | 2082-2091 |
| Jahr | 2011 |
| Journal | Advances in Mathematics |
| Jahrgang | 227 |
| Zusammenfassung | We prove that for any partition $(łambda_1,...,łambda_d^2)$ of size $\ell d$ there exists $k\ge 1$ such that the tensor square of the irreducible representation of the symmetric group $S_k\ell d$ with respect to the rectangular partition $(k\ell,...,k\ell)$ contains the irreducible representation corresponding to the stretched partition $(kłambda_1,...,kłambda_d^2)$. We also prove a related approximate version of this statement in which the stretching factor $k$ is effectively bounded in terms of $d$. This investigation is motivated by questions of geometric complexity theory. |