Nicolau: Complex and CR-structures on compact Lie groups associated to abelian actions. Ann. Global Anal. Geom. 32 (2007), no. 4, 361-378.J.-J. Loeb, M. Manjarin, and M. Nicolau, Complex and CR-structures on compact Lie groups associated to Abelian actions, preprint, arXiv:math/...
in C, S1 also inherits a group structure, given by x1y1x2y2:=x1x2−y1y2,x1y2+x2y1,x1y1−1=x1,−y1. We note that there is a one-to-one correspondence between complex numbers and certain real 2 × 2 real matrices given by z=x+iy∈ℂ=ℝ2↔A=x−yyx∈M2ℝ and...
The genus corresponding to Qx=x/tanhx is known as the L-genus; it takes the value 1 on every even complex projective space. The genus corresponding to Qx=(x/2)/sinhx/2 is known as the Â-genus. The so-called (string-inspired) Witten or elliptic genus corresponds to Qx=x/σx. ...
for the corresponding complex holomorphic systems. a more complete, rigorous analysis of reduced integrability is beyond the scope of the present paper. 2.2 the duals of the spin sutherland models now, we turn to the characterization of the poisson algebra of the invariant functions in terms of t...
Invariants and relative invariants under compact Lie groups For this, we develop the invariant theory of compact Lie groups acting on complex vector spaces. This is the starting point for the study of relative ... PH Baptistelli,M Manoel - 《Journal of Pure & Applied Algebra》 被引量: 13发...
This finishes the classification of elementary abelian -subgroups of compact simple Lie groups (equivalently, complex linear algebraic simple groups) of adjoint type started in Griess (Geom Dedicata 39(3):253-305, 1991). 关键词: Elementary abelian 2-group Automizer group Involution type Symplectic ...
, Über Systeme hypercomplexer Zahlen.Math. Z., 30 (1929), 79–107. Article MATH MathSciNet Google Scholar Brauer, R. &Suzuki, M., On finite groups of even order whose 2-Sylow group is a quaternion group.Proc. Nat. Acad. Sci., 45 (1959), 1757–1759. MathSciNet MATH Google...
Let K be a compact Lie group and G its complexification. For a not necessarily reduced Stein K-space X we show that there is a complex space Z endowed with a holomorphic action of the universal complexification G of K that contains X as an open K-stable subset. The correspondence is ...
In this paper, a representation ofGis any continuous (hence smooth) group homomorphism fromGto the set of automorphisms of a finite dimensional complex vector space. We will denote this space with dimension . We may equip with an inner product ...
Global group laws and equivariant bordism rings formal groupsglobal equivariant homotopy theoryCOMPLEX COBORDISMBALMER SPECTRUMFor every abelian compact Lie group A, we prove that the homotopical A-equivariant... M Hausmann - 《Annals of Mathematics》 被引量: 0发表: 2022年 ...