We construct an explicit equivariant cellular decomposition of the (4n-1)-sphere with respect to binary polyhedral groups, and describe the associated cellular chain complex. As a corollary of the binary octahedral case, we deduce an S3-equivariant decomposition of the flag manifold of SL3(R).
Cellularization for exceptional spherical space forms and the flag manifold of SL3(R)
Rocco Chirivi';Mauro Spreafico
2022-01-01
Abstract
We construct an explicit equivariant cellular decomposition of the (4n-1)-sphere with respect to binary polyhedral groups, and describe the associated cellular chain complex. As a corollary of the binary octahedral case, we deduce an S3-equivariant decomposition of the flag manifold of SL3(R).File in questo prodotto:
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