Cohomological Invariants of Simply Connected Groups of Rank 3
نویسندگان
چکیده
منابع مشابه
Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups
We study low order terms of Emerton’s spectral sequence for simply connected, simple groups. As a result, for real rank 1 groups, we show that Emerton’s method for constructing eigenvarieties is successful in cohomological dimension 1. For real rank 2 groups, we show that a slight modification of Emerton’s method allows one to construct eigenvarieties in cohomological dimension 2. Throughout th...
متن کاملDonaldson invariants for non-simply connected manifolds
We study Coulomb branch (“u-plane”) integrals for N = 2 supersymmetric SU(2), SO(3) Yang-Mills theory on 4-manifolds X of b1(X) > 0, b + 2 (X) = 1. Using wall-crossing arguments we derive expressions for the Donaldson invariants for manifolds with b1(X) > 0, b+2 (X) > 0. Explicit expressions for X = CP 1 × Fg, where Fg is a Riemann surface of genus g are obtained using Kronecker’s double series...
متن کاملCOUNTING DISTINCT FUZZY SUBGROUPS OF SOME RANK-3 ABELIAN GROUPS
In this paper we classify fuzzy subgroups of a rank-3 abelian group $G = mathbb{Z}_{p^n} + mathbb{Z}_p + mathbb{Z}_p$ for any fixed prime $p$ and any positive integer $n$, using a natural equivalence relation given in cite{mur:01}. We present and prove explicit polynomial formulae for the number of (i) subgroups, (ii) maximal chains of subgroups, (iii) distinct fuzzy subgroups, (iv) non-isomorp...
متن کاملSome results of semilocally simply connected property
If we consider some special conditions, we can assume fundamental group of a topological space as a new topological space. In this paper, we will present a number of theorems in topological fundamental group related to semilocally simply connected property for a topological space.
متن کاملEquivariant K-Theory of Simply Connected Lie Groups
We compute the equivariant K-theory K∗ G(G) for a simply connected Lie group G (acting on itself by conjugation). We prove that K∗ G(G) is isomorphic to the algebra of Grothendieck differentials on the representation ring. We also study a special example of a nonsimply connected Lie group G, namely PSU(3), and compute the corresponding equivariant K-theory.
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: Journal of Algebra
سال: 2000
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8241