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SYMMETRICA, an object oriented computer-algebra system for the symmetric group

Title data

Kerber, Adalbert ; Kohnert, Axel ; Lascoux, Alain:
SYMMETRICA, an object oriented computer-algebra system for the symmetric group.
In: Journal of Symbolic Computation. Vol. 14 (1992) Issue 2–3 . - pp. 195-203.
ISSN 0747-7171
DOI: https://doi.org/10.1016/0747-7171(92)90035-3

Abstract in another language

This is a review of an object oriented computer algebra system which is devoted to epresentation theory, invariant theory and combinatorics of the symmetric group. Moreover, it can be used for classical multivariate polynomials via the different actions of the symmetric group on the algebra of polynomials.
The review contains a brief introduction to the basic methods used. Schubert polynomials are introduced, examples are given, and some applications are described. In particular, they provide a new algorithm for the evaluation of Littlewood-Richardson coefficients via symbolic computations using integer sequences instead of partitions, tableaux or lattice permutations.

Further data

Item Type: Article in a journal
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 12 Apr 2016 09:23
Last Modified: 12 Apr 2016 09:23
URI: https://eref.uni-bayreuth.de/id/eprint/32172