منابع مشابه
conjugate $p$-elements of full support that generate the wreath product $c_{p}wr c_{p}$
for a symmetric group $g:=sym(n)$ and a conjugacy class $mathcal{x}$ of involutions in $g$, it is known that if the class of involutions does not have a unique fixed point, then - with a few small exceptions - given two elements $a,x in mathcal{x}$, either $angbrac{a,x}$ is isomorphic to the dihedral group $d_{8}$, or there is a further element $y in mathcal{x}$ such that $angbrac{a,y} cong ang...
متن کاملWreath Product Symmetric Functions
We systematically study wreath product Schur functions and give a combinatorial construction using colored partitions and tableaux. The Pieri rule and the Littlewood-Richardson rule are studied. We also discuss the connection with representations of generalized symmetric groups.
متن کاملOrbifold Cohomology of a Wreath Product Orbifold
Abstract. Let [X/G] be an orbifold which is a global quotient of a compact almost complex manifold X by a finite group G. Let Σn be the symmetric group on n letters. Their semidirect product G ⋊ Σn is called the wreath product of G and it naturally acts on the n-fold product X, yielding the orbifold [X/(G ⋊Σn)]. Let H (X , G ⋊Σn) be the stringy cohomology [FG, JKK1] of the (G ⋊ Σn)-space X . Wh...
متن کاملThe wreath product principle for ordered semigroups
Straubing’s wreath product principle provides a description of the languages recognized by the wreath product of two monoids. A similar principle for ordered semigroups is given in this paper. Applications to language theory extend standard results of the theory of varieties to positive varieties. They include a characterization of positive locally testable languages and syntactic descriptions ...
متن کاملalgebra and wreath product convolution
We present a group theoretic construction of the Virasoro algebra in the framework of wreath products. This can be regarded as a counterpart of a geometric construction of Lehn in the theory of Hilbert schemes of points on a surface. Introduction It is by now well known that a direct sum ⊕ n≥0R(Sn) of the Grothendieck rings of symmetric groups Sn can be identified with the Fock space of the Hei...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2006
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2005.12.027