Weyl Transforms, Heat Kernels, Green Functions and Riemann Zeta Functions on Compact Lie Groups

2007 ◽  
pp. 67-85 ◽  
Author(s):  
M. W. Wong
Keyword(s):  
Lie Groups ◽  
Zeta Functions ◽  
Heat Kernels ◽  
Green Functions ◽  
Compact Lie Groups ◽  
Weyl Transforms ◽  
Riemann Zeta

Segal–Bargmann and Weyl transforms on compact Lie groups

2008 ◽  
Vol 158 (3) ◽  
pp. 285-305 ◽  
Author(s):  
Joachim Hilgert ◽  
Genkai Zhang
Keyword(s):  
Lie Groups ◽  
Compact Lie Groups ◽  
Weyl Transforms

Cohomology of orbits of compact Lie groups

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

MINIMAL SURFACES IN COMPACT LIE GROUPS

1978 ◽  
Vol 33 (3) ◽  
pp. 145-146
Author(s):  
Dao Chong Tkhi
Keyword(s):  
Lie Groups ◽  
Minimal Surfaces ◽  
Compact Lie Groups

scholarly journals Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class

2014 ◽  
Vol 14 (2) ◽  
pp. 247-272 ◽  
Author(s):  
Antti J. Harju ◽  
Jouko Mickelsson
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Lie Groups ◽  
Explicit Construction ◽  
Theory Model ◽  
Quantum Field ◽  
Compact Lie Groups ◽  
Field Theory Model ◽  
Cup Product ◽  
K Theory

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.

ON THE MODEL THEORY OF THE LOGARITHMIC FUNCTION IN COMPACT LIE GROUPS

2013 ◽  
Vol 12 (08) ◽  
pp. 1350055
Author(s):  
SONIA L'INNOCENTE ◽  
FRANÇOISE POINT ◽  
CARLO TOFFALORI
Keyword(s):  
Lie Groups ◽  
Lie Group ◽  
Model Theory ◽  
Effective Model ◽  
Logarithmic Function ◽  
Compact Lie Groups ◽  
Model Completeness ◽  
Schanuel's Conjecture ◽  
Logarithm Function ◽  
Natural Expansion

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.

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