scholarly journals Fredholm conditions for operators invariant with respect to compact Lie group actions

2021 ◽  
Vol 359 (9) ◽  
pp. 1135-1143
Author(s):  
Alexandre Baldare ◽  
Rémi Côme ◽  
Victor Nistor
Keyword(s):  
Lie Group ◽  
Group Actions ◽  
Compact Lie Group ◽  
Lie Group Actions

scholarly journals Higher-order orbifold Euler characteristics for compact Lie group actions

2015 ◽  
Vol 145 (6) ◽  
pp. 1215-1222 ◽  
Author(s):  
S. M. Gusein-Zade ◽  
I. Luengo ◽  
A. Melle-Hernández
Keyword(s):  
Euler Characteristic ◽  
Lie Group ◽  
Group Actions ◽  
Wreath Products ◽  
Higher Order ◽  
Compact Lie Group ◽  
Euler Characteristics ◽  
Finite Group Actions ◽  
Lie Group Actions ◽  
Generating Series

We generalize the notions of the orbifold Euler characteristic and of the higher-order orbifold Euler characteristics to spaces with actions of a compact Lie group using integration with respect to the Euler characteristic instead of the summation over finite sets. We show that the equation for the generating series of the kth-order orbifold Euler characteristics of the Cartesian products of the space with the wreath products actions proved by Tamanoi for finite group actions and by Farsi and Seaton for compact Lie group actions with finite isotropy subgroups holds in this case as well.

scholarly journals Equivariant K -theory of compact Lie group actions with maximal rank isotropy

2012 ◽  
Vol 5 (2) ◽  
pp. 431-457 ◽  
Author(s):  
Alejandro Adem ◽  
José Manuel Gómez
Keyword(s):  
Lie Group ◽  
Group Actions ◽  
Maximal Rank ◽  
Compact Lie Group ◽  
Lie Group Actions ◽  
K Theory

scholarly journals Quantizations of compact Lie group actions

2014 ◽  
Vol 80 ◽  
pp. 26-36
Author(s):  
Hilja L. Huru ◽  
Valentin V. Lychagin
Keyword(s):  
Lie Group ◽  
Group Actions ◽  
Compact Lie Group ◽  
Lie Group Actions

scholarly journals COMPACT LIE GROUP ACTIONS ON ASPHERICAL $A_k(\pi)$-MANIFOLDS

1993 ◽  
Vol 24 (4) ◽  
pp. 395-403
Author(s):  
DINGYI TANG
Keyword(s):  
Finite Group ◽  
Lie Group ◽  
Quotient Group ◽  
Group Actions ◽  
Compact Lie Group ◽  
Lie Group Actions ◽  
Torsion Free

Let M be an aspberical $A_k(\pi)$-manifold and $\pi'$-torsion-free, where $\pi'$ is some quotient group of $\pi$. We prove that (1) Suppose the Eu­ler characteristic $\mathcal{X}(M) \neq 0$ and $G$ is compact Lie group acting effectively on $M$, then $G$ is finite group (2) The semisimple degree of symmetry of $M$ $N_T^s \le (n - k)(n - k+1)/2$. We also unity many well-known results with simpler proofs.

scholarly journals Stratifications of Inertia Spaces of Compact Lie Group Actions

2015 ◽  
Vol 13 ◽  
Author(s):  
Carla Farsi ◽  
Markus Pflaum ◽  
Christopher Seaton
Keyword(s):  
Lie Group ◽  
Group Actions ◽  
Compact Lie Group ◽  
Lie Group Actions
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