direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Page Content

There is no English translation for this web page.

Search for Publication

Search for publications

All Publications

The computational complexity to evaluate representations of general linear groups
Citation key B-The-Computational-Complexity-To-Evaluate-Representations-Of-General-Linear-Groups-1
Author Peter Bürgisser
Title of Book In Proc. 10th International Conference on Formal Power Series and Algebraic Combinatorics
Pages 115-126
Year 1998
Address Toronto
Abstract We describe a fast algorithm to evaluate irreducible matrix representations of general linear groups $\mathrmGL(m,\mathbb C)$ with respect to a symmetry adapted basis (Gelfand-Tsetlin basis). This is complemented by a lower bound, which shows that our algorithm is optimal up to a factor $m^2$ with regard to nonscalar complexity. Our algorithm can be used for the fast evaluation of special functions: for instance, we obtain an $O(l łog l)$ algorithm to evaluate all associated Legendre functions of degree $l$. As a further application we obtain an algorithm to evaluate immanants, which is faster than previous algorithms due to Hartmann and Barvinok.
Link to publication Link to original publication Download Bibtex entry

Zusatzinformationen / Extras

Quick Access:

Schnellnavigation zur Seite über Nummerneingabe

This site uses Matomo for anonymized webanalysis. Visit Data Privacy for more information and opt-out options.