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On the Quiver Presentation of the Descent Algebra of the Symmetric Group
Descent algebra symmetric group quiver presentation
2012/6/15
We describe a presentation for the descent algebra of the symmetric group $\sym{n}$ as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic...
Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials
Invariant polynomials Extension of symmetric spaces Spherical Fourier transform
2011/1/17
Polynomial invariants are fundamental objects in analysis on Lie groups and symmetric spaces. Invariant differential operators on symmetric spaces are described by Weyl group invariant poly-nomial.
Random partitions and asymptotic theory of symmetric groups, Hecke algebras and finite Chevalley groups
Random partitions asymptotic theory of symmetric groups Hecke algebras finite Chevalley groups
2011/2/22
Kit meanwhile had begun to frequent the Applied Mechanics Institute. Since Prandtl’s recent discovery of the boundary layer, things over there had been hopping, with intense inquiry into matters of li...
On the automorphism group of tube type real symmetric domains
Jordan algebra Jordan triple system bounded symmetric domain partial Cayley transform
2011/1/18
The aim of this note is to explain a generalization to the real case of a well known result on the automorphism group of an unbounded tube type symmetric domain in a complex vector space of finite dim...
Normal coverings of finite symmetric and alternating groups
Normal coverings alternating groups
2010/11/23
In this paper we investigate the minimum number of maximal subgroups H_i for i=1 ...k of the symmetric group S_n (or the alternating group A_n) such that each element in the group S_n (respectively A...
Symmetric quivers, invariant theory, and saturation theorems for the classical groups
Symmetric quivers invariant theory saturation theorems for the classical groups
2010/12/7
Let G denote either a special orthogonal group or a symplectic group defined over the complex
numbers. We prove the following saturation result for G: given dominant weights λ1, . . . , λr
such that...
Coverings of the Symmetric and Alternating Groups
Coverings of the Symmetric Alternating Groups
2010/12/9
We analyse for which n there exist in G = An, Sn two proper subgroups H,K such that G is the union of the G-conjugacy classes of H and K.