TU Berlin

Fachgebiet Algorithmische AlgebraRefereed Contributions

Page Content

to Navigation

There is no English translation for this web page.

Refereed Contributions

A max-flow algorithm for positivity of Littlewood-Richardson coefficients
Citation key BI-A-Max-Flow-Algorithm-For-Positivity-Of-Littlewood-Richardson-Coefficients
Author Peter Bürgisser and Christian Ikenmeyer
Title of Book FPSAC 2009
Pages 267-278
Year 2009
Address Hagenberg, Austria
Series DMTCS proc. AK
Abstract Littlewood-Richardson coefficients are the multiplicities in the tensor product decomposition of two irreducible representations of the general linear group $\mathrmGL(n,\mathbb C)$. They have a wide variety of interpretations in combinatorics, representation theory and geometry. Mulmuley and Sohoni pointed out that it is possible to decide the positivity of Littlewood-Richardson coefficients in polynomial time. This follows by combining the saturation property of Littlewood-Richardson coefficients (shown by Knutson and Tao 1999) with the well-known fact that linear optimization is solvable in polynomial time. We design an explicit combinatorial polynomial time algorithm for deciding the positivity of Littlewood-Richardson coefficients. This algorithm is highly adapted to the problem and it is based on ideas from the theory of optimizing flows in networks
Link to publication Download Bibtex entry


Quick Access

Schnellnavigation zur Seite über Nummerneingabe