Reflection decompositions in the classical Weyl groups

DOI10.1016/0012-365X(93)E0163-XzbMath0820.20047OpenAlexW2109556075WikidataQ127676092 ScholiaQ127676092MaRDI QIDQ1343784

Alain Goupil

Publication date: 17 September 1995

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(93)e0163-x

zbMATH Keywords

partitionsWeyl groupsconjugacy classessymmetric groupsCoxeter groupsproducts of reflectionsdecomposition of elementsminimal number of transpositionsnumber of minimal decompositions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Symmetric groups (20B30)

Related Items

Annular noncrossing permutations and minimal transitive factorizations

Cites Work

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• Factorization of permutations into n-cycles
• Some combinatorial problems associated with products of conjugacy classes of the symmetric group
• The Poset of Conjugacy Classes and Decomposition of Products in the Symmetric Group
• On the poset of partitions of an integer