The Hurewicz image of the ηi family, a polynomial subalgebra of H∗Ω 2i+1 −8+k
نویسندگان
چکیده
We consider the problem of calculating the Hurewicz image of Mahowald’s family ηi ∈ 2π S 2 . This allows us to identify specific spherical classes in H∗Ω 2−8+k 0 S 2−2 for 0 6 k 6 6. We then identify the type of the subalgebras that these classes give rise to, and calculate the A-module and R-module structure of these subalgebras. We shall the discuss the relation of these calculations to the Curtis conjecture on spherical classes in H∗Q0S 0, and relations with spherical classes in H∗Q0S −n.
منابع مشابه
On permutably complemented subalgebras of finite dimensional Lie algebras
Let $L$ be a finite-dimensional Lie algebra. We say a subalgebra $H$ of $L$ is permutably complemented in $L$ if there is a subalgebra $K$ of $L$ such that $L=H+K$ and $Hcap K=0$. Also, if every subalgebra of $L$ is permutably complemented in $L$, then $L$ is called completely factorisable. In this article, we consider the influence of these concepts on the structure of a Lie algebra, in partic...
متن کاملA Result Related to the Problem Cn of Fremlin
We show that the set of injective functions from any uncountable cardinal less than the continuum into the real numbers is of second category in the box product topology. In this paper, we use a definability argument to resolve under mild set– theoretic assumptions a problem about injective functions in the box product topology. Suppose κ is a cardinal; let Sκ be the set of injective functions ...
متن کاملA New Distribution Family Constructed by Fractional Polynomial Rank Transmutation
In this study‎, ‎a new polynomial rank transmutation is proposed with the help of‎ ‎ the idea of quadratic rank transmutation mapping (QRTM)‎. ‎This polynomial rank‎ ‎ transmutation is allowed to extend the range of the transmutation parameter from‎ ‎ [-1,1] to [-1,k]‎‎. ‎At this point‎, ‎the generated distributions gain more&lrm...
متن کاملSome results on the polynomial numerical hulls of matrices
In this note we characterize polynomial numerical hulls of matrices $A in M_n$ such that$A^2$ is Hermitian. Also, we consider normal matrices $A in M_n$ whose $k^{th}$ power are semidefinite. For such matriceswe show that $V^k(A)=sigma(A)$.
متن کاملScaling limits for equivariant Szegö kernels
Let (M,J) be an n-dimensional complex projective manifold, and let L be an Hermitian ample line bundle on M . Suppose that the unique compatible connection on L has curvature Θ = −2i ω, where ω is a Hodge form on M . The pair (ω, J) puts a unitary structure on the (holomorphic) tangent bundle TM , hence a Riemannian structure on M . Let G be a compact connected g-dimensional Lie group, and supp...
متن کامل