Highly Influenced

# STABLE SPLITTINGS OF STIEFEL MANIFOLDS

@inproceedings{Miller2001STABLESO, title={STABLE SPLITTINGS OF STIEFEL MANIFOLDS}, author={Haynes R. Miller}, year={2001} }

- Published 2001

LET F be one of the skewfields R, Q), or W, and consider the Stiefel manifold V,,, of orthonormal q-frames in F”. We regard this as the space of Hermitian inner-product preserving right F-linear maps from F4 to F”. Pick a point &, E V,,Q, and define a filtration of V”,4 by closed subsets F,‘ v,,, = (4: dimFker($+&,) 2 q-k}. Thus Fe V,_ = { C#Q, ), F, V”/.,* is the usual “generating complex,” and Fq Vm,q = F&. In this paper we will show that the strata Fk Fk1 of this filtration are vector… CONTINUE READING

#### From This Paper

##### Topics from this paper.

#### Citations

##### Publications citing this paper.

SHOWING 1-7 OF 7 CITATIONS

Highly Influenced

Highly Influenced

#### References

##### Publications referenced by this paper.

SHOWING 1-2 OF 2 REFERENCES