The rational homotopy groups of complete intersections
نویسندگان
چکیده
منابع مشابه
Rational Homotopy Groups of Generalised Symmetric Spaces
We obtain explicit formulas for the rational homotopy groups of generalised symmetric spaces, i.e., the homogeneous spaces for which the isotropy subgroup appears as the fixed point group of some finite order automorphism of the group. In particular, this gives explicit formulas for the rational homotopy groups of all classical compact symmetric spaces.
متن کاملRational homotopy groups and Koszul algebras
Let X and Y be finite-type CW-spaces (X connected, Y simply connected), such that the ring H∗(Y,Q) is a k-rescaling of H∗(X,Q). If H∗(X,Q) is a Koszul algebra, then the graded Lie algebra π∗(ΩY )⊗Q is the k-rescaling of gr∗(π1X)⊗Q. If Y is a formal space, then the converse holds, and Y is coformal. Furthermore, if X is formal, with Koszul cohomology algebra, there exist filtered group isomorphi...
متن کاملTHE RATIONAL CHARACTER TABLE OF SPECIAL LINEAR GROUPS
In this paper we will give the character table of the irreducible rational representations of G=SL (2, q) where q= , p prime, n>O, by using the character table and the Schur indices of SL(2,q).
متن کاملNearly Rational Frobenius Groups
In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.
متن کاملA new family in the stable homotopy groups of spheres
Let $p$ be a prime number greater than three. In this paper, we prove the existence of a new family of homotopy elements in the stable homotopy groups of spheres $pi_{ast}(S)$ which is represented by $h_nh_mtilde{beta}_{s+2}in {rm Ext}_A^{s+4, q[p^n+p^m+(s+2)p+(s+1)]+s}(mathbb{Z}_p,mathbb{Z}_p)$ up to nonzero scalar in the Adams spectral sequence, where $ngeq m+2>5$, $0leq sExt}_A^{s+2,q[(s+2)p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1979
ISSN: 0019-2082
DOI: 10.1215/ijm/1256048231