期刊
ALGEBRAIC INFORMATICS (CAI 2015)
卷 9270, 期 -, 页码 58-69出版社
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/978-3-319-23021-4_6
关键词
Computational invariant theory; Representation theory; Permutation group; Specht polynomials
Using the representation theory of the symmetric group, we propose an algorithm to compute the invariant ring of a permutation group in the non modular case. Our approach has the advantage of reducing the amount of linear algebra computations and exploits a finer combinatorial description of the invariant ring. We build explicit generators for invariant rings by means of the higher Specht polynomials of the symmetric group.
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