A note on the Lie polynomial $ \mbf{(x+y)^{p}-x^{p}-y^{p}} $

Molecular characterisation of a der(Y)t(Xp;Yp) with Xp functional disomy and sex reversal.

Sex reversal due to duplication of the Xp21 dosage-sensitive sex reversal locus results in XY females with gonadal dysgenesis. Pure Xp disomy (without a concurrent loss of genetic material) can occur by translocation or interstitial duplication. The case reported here is the rare form with a t(Xp;Yp). The combination of conventional clinical cytogenetic techniques, microsatellite analysis and h...

On the order of the polynomial xp-x-a

In this note, we prove that the order of x p − x − 1 ∈ Fp[x] is p p −1 p−1 , where p is a prime and Fp is the finite field of size p. As a consequence, it is shown that x p − x − a ∈ Fp[x] is primitive if and only if a is a primitive element in Fp.

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

A Note on Lie Groups

In this note we present two proofs of Theorems A and B ; one proof uses differential forms, the other, which is somewhat more elementary, is based on differential geometry. Let then G be a real connected compact Lie group and assume that the fundamental group of G is infinite. We have to prove that G is not semi-simple. We note that for compact groups "semi-simple" means that the center of G is...

Note on a polynomial of