Cohomology of line bundles on the cotangent bundle of a Grassmannian

Author:
Eric N. Sommers

Journal:
Proc. Amer. Math. Soc. **137** (2009), 3291-3296

MSC (2000):
Primary 20G10; Secondary 14F05

Published electronically:
June 5, 2009

MathSciNet review:
2515398

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Abstract: We show that certain line bundles on the cotangent bundle of a Grassmannian arising from an anti-dominant character have cohomology groups isomorphic to those of a line bundle on the cotangent bundle of the dual Grassmannian arising from the dominant character , where is the longest element of the Weyl group of .

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Additional Information

**Eric N. Sommers**

Affiliation:
University of Massachusetts-Amherst, Amherst, Massachusetts 01003

Email:
esommers@math.umass.edu

DOI:
https://doi.org/10.1090/S0002-9939-09-09936-5

Received by editor(s):
June 17, 2008

Received by editor(s) in revised form:
February 19, 2009

Published electronically:
June 5, 2009

Additional Notes:
The author was supported in part by NSF grant DMS-0201826

Dedicated:
To Professor Shoji on the occasion of his 60th birthday

Communicated by:
Gail R. Letzter

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.