For $X$ a smooth scheme acted on by linear algebraic group $G$ and $p$ prime, the equivariant Chow ring $CH^*_G(X)\otimes \mathbb{F}_p$ is an unstable algebra over Steenrod algebra. We compute Lannes's $T$-functor applied to \mathbb{F}_p$. As application, we localization of away from $n$-nilpotent modules algebra, affirming conjecture Totaro as special case. The case when point $n = 1$ generali...

* Correspondence: jinyinlai@lyu. edu.cn School of Science, Linyi University, Linyi 276005, Shandong, P.R. China Full list of author information is available at the end of the article Abstract In this article, center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of seventh-degree systems are investigated. With the help of computer algebra system MATHEMATIC...

On the Automorphism Tower of Free Nilpotent Groups Martin Dimitrov Kassabov 2003 In this thesis I study the automorphism tower of free nilpo-tent groups. Our main tool in studying the automorphism tower is to embed every group as a lattice in some Lie group. Using known rigidity results the automorphism group of the discrete group can be embedded into the automorphism group of the Lie group. Th...

We call (i?) 1 the Lie ring associated with R, and denote it by 9Î. The question of how far the properties of SR determine those of R is of considerable interest, and has been studied extensively for the case when R is an algebra, but little is known of the situation in general. In an earlier paper the author investigated the effect of the nilpotency of 9î upon the structure of R if R contains ...

In this paper, center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of quintic polynomial differential system are investigated. With the help of computer algebra system MATHEMATICA, the first 10 quasi Lyapunov constants are deduced. As a result, sufficient and necessary conditions in order to have a center are obtained. The fact that there exist 10 small ...

In the spirit of Diffie Hellman the concept of a protocol algebra is introduced using certain amalgamated free product of Braid group (B) and Thompson group (T ) together with a nilpotent subgroup H of index 2

The purpose of this paper is to apply the theory of MV polytopes to the study of components of Lusztig’s nilpotent varieties. Along the way, we introduce reflection functors for modules over the non-deformed preprojective algebra of a quiver.

We classify irreducible representations of finite W-algebra for the queer Lie superalgebra Q(n) associated with principal nilpotent coadjoint orbits. use this classification and our previous results to obtain a finite-dimensional super Yangian YQ(1).

We determine the Lie subalgebra gnil of a Borcherds symmetrizable generalized Kac-Moody algebra g generated by ad-locally nilpotent elements and show that it is ‘essentially’ same as Levi with its simple roots precisely real g.

Alexander Premet has stated the following problem: what is a relation between subregular nilpotent representations of a classical semisimple restricted Lie algebra and non-commutative deformations of the corresponding singularities? We solve this problem for type A.