A Semigroup Approach to Wreath-Product Extensions of Solomon's Descent Algebras
نویسندگان
چکیده
منابع مشابه
A Semigroup Approach to Wreath-Product Extensions of Solomon's Descent Algebras
There is a well-known combinatorial definition, based on ordered set partitions, of the semigroup of faces of the braid arrangement. We generalize this definition to obtain a semigroup ΣGn associated with G ≀ Sn, the wreath product of the symmetric group Sn with an arbitrary group G. Techniques of Bidigare and Brown are adapted to construct an anti-homomorphism from the Sn-invariant subalgebra ...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2009
ISSN: 1077-8926
DOI: 10.37236/110