Let F be an algebraically closed field and let G be a semisimple F-algebraic group for which the characteristic of F is very good. If X ∈ Lie(G) = Lie(G)(F) is a nilpotent element in the Lie algebra of G, and if C is the centralizer in G of X, we show that (i) the root datum of a Levi factor of C, and (ii) the component group C/Co both depend only on the Bala-Carter label of X; i.e. both are in...

Femoral stem centralizers were originally designed for double tapered, straight stems. In a slightly modified configuration, the PMMA centralizer is plugged in a hole in the tip of the ABG II femoral prosthesis. The purpose of this study was to determine the effect of the centralizer on the position of the anatomical ABG II stem. Thirty-nine cemented ABG II stems with a centralizer were compare...

Let G be a compact connected Lie group andH the centralizer of a oneparameter subgroup. We obtain a unified formula that expresses Steenrod operations on Schubert classes in the flag manifold G/H in term of Cartan

We prove that the permutations of $\{1,\dots, n\}$ having an increasing (resp., decreasing) subsequence length $n-r$ index a subset set all $r$th Kronecker powers $n \times n$ permutation matrices which is basis for linear span set. Thanks to known Schur-Weyl duality, this gives new centralizer algebra partition acting on tensor power vector space. give some related results doubly stochastic in...

Introduction In this talk all groups are finite (by definition), and all simple groups are non-abelian. Let us first define our terms: an involution in a group G is an element t of order 2, i.e. t = 1 and t 6= 1. Its centralizer CG(t) is the subgroup of elements which commute with it, so CG(t) = {g ∈ G | tg = gt}. It has long been accepted in abstract group theory that the way to study simple g...

There is a simple formula for the absolute value of the determinant of the character table of the symmetric group Sn. It equals aP , the product of all parts of all partitions of n (see [4, Corollary 6.5]). In this paper we calculate the absolute values of the determinants of certain submatrices of the character table X of the alternating group An, including that of X itself (Section 2). We als...

The purpose of this paper is to investigate the finite group which appears in the study of the Type II Z4-codes. To be precise, it is characterized in terms of generators and relations, and we determine the structure of the centralizer algebras of the tensor representations of this group.