scholarly journals Analysis on compact Lie groups of large dimension and on connected compact groups

2010 ◽  
Vol 118 (1) ◽  
pp. 183-199 ◽  
Author(s):  
L. Saloff-Coste

2007 ◽  
Vol 11 (1) ◽  
pp. 315-427 ◽  
Author(s):  
Carles Broto ◽  
Ran Levi ◽  
Bob Oliver


1983 ◽  
Vol 69 (1) ◽  
pp. 51-71
Author(s):  
Simone Gutt








1978 ◽  
Vol 33 (3) ◽  
pp. 145-146
Author(s):  
Dao Chong Tkhi


Author(s):  
Antti J. Harju ◽  
Jouko Mickelsson

AbstractTwisted K-theory on a manifold X, with twisting in the 3rd integral cohomology, is discussed in the case when X is a product of a circle and a manifold M. The twist is assumed to be decomposable as a cup product of the basic integral one form on and an integral class in H2(M,ℤ). This case was studied some time ago by V. Mathai, R. Melrose, and I.M. Singer. Our aim is to give an explicit construction for the twisted K-theory classes using a quantum field theory model, in the same spirit as the supersymmetric Wess-Zumino-Witten model is used for constructing (equivariant) twisted K-theory classes on compact Lie groups.



2013 ◽  
Vol 12 (08) ◽  
pp. 1350055
Author(s):  
SONIA L'INNOCENTE ◽  
FRANÇOISE POINT ◽  
CARLO TOFFALORI

Given a compact linear Lie group G, we form a natural expansion of the theory of the reals where G and the graph of a logarithm function on G live. We prove its effective model-completeness and decidability modulo a suitable variant of Schanuel's Conjecture.





1993 ◽  
Vol 117 (1) ◽  
pp. 251
Author(s):  
David Blanc ◽  
Dietrich Notbohm


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