Squaring operations in mod 2 cohomology of quotients of compact lie groups by maximal tori

1987 ◽  
pp. 192-206
Author(s):  
Akira Kono ◽  
Kiminao Ishitoya
Keyword(s):  
Lie Groups ◽  
Compact Lie Groups ◽  
Maximal Tori

Maps between p-completed classifying spaces

1989 ◽  
Vol 112 (3-4) ◽  
pp. 231-235 ◽  
Author(s):  
J. Frank Adams ◽  
Zdzisław Wojtkowiak
Keyword(s):  
Lie Groups ◽  
Classifying Spaces ◽  
Compact Lie Groups ◽  
Complete Case ◽  
Topological Map ◽  
Maximal Tori ◽  
Local Case ◽  
Admissible Maps

SynopsisLet G and G' be two connected compact Lie groups with maximal tori T and T'. For a space X, let Xp be the p-completion of X. We will associate to each topological map f:(BG)p→(BG')p an “admissible map” ϕ:π1(T)⊗zZp→π1(T′)⊗zZp. We then show that the study of “admissible maps” in the p-complete case may be reduced to their study in the p-local case.

Rigidity properties of compact Lie groups modulo maximal tori

1986 ◽  
Vol 275 (4) ◽  
pp. 637-652 ◽  
Author(s):  
Stefan Papadima
Keyword(s):  
Lie Groups ◽  
Compact Lie Groups ◽  
Maximal Tori

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

scholarly journals Semilinear wave equation on compact Lie groups

2021 ◽  
Vol 12 (3) ◽  
Author(s):  
Alessandro Palmieri
Keyword(s):  
Wave Equation ◽  
Lie Groups ◽  
Compact Lie Groups ◽  
Semilinear Wave Equation

scholarly journals Homogeneous hypercomplex structures II - Coset spaces of compact Lie groups

2021 ◽  
pp. 104219
Author(s):  
George Dimitrov ◽  
Vasil Tsanov
Keyword(s):  
Lie Groups ◽  
Compact Lie Groups ◽  
Coset Spaces

scholarly journals Acceptable Compact Lie Groups

2021 ◽  
Author(s):  
Jun Yu
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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