# nLab equivariant rational homotopy theory

Contents

### Context

#### Representation theory

representation theory

geometric representation theory

and

# Contents

## Idea

The equivariant version of rational homotopy theory.

## References

The original reference for finite groups is

• Georgia Triantafillou, Equivariant rational homotopy theory, chapter III of Peter May, Equivariant homotopy and cohomology theory, CBMS Regional Conference Series in Mathematics, vol. 91, Published for the Conference Board of the Mathematical Sciences, Washington, DC, 1996. With contributions by M. Cole, G. Comeza˜na, S. Costenoble, A. D. Elmendorf, J. P. C. Greenlees, L. G. Lewis, Jr., R. J. Piacenza, G. Triantafillou, and S. Waner. (pdf, ISBN: 978-0-8218-0319-6)

• Georgia Triantafillou, Equivariant minimal models, Trans. Amer. Math. Soc. vol 274 pp 509-532 (1982) (jstor:1999119)

but beware that Scull 01 claims that the statement about minimal models there is not correct. Corrrected statements for finite groups as well as generalization to compact Lie groups, at least to the circle group, is due to

Further discussion in:

The model structure on equivariant dgc-algebras, generalizing the projective model structure on dgc-algebras, in which equivariant minimal Sullivan models are cofibrant objects: