Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups

Belkale, Prakash; Kumar, Shrawan

doi:10.1090/S1056-3911-09-00517-7

Authors: Prakash Belkale and Shrawan Kumar
Journal: J. Algebraic Geom. 19 (2010), 199-242
DOI: https://doi.org/10.1090/S1056-3911-09-00517-7
Published electronically: June 16, 2009
MathSciNet review: 2580675
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Abstract | References | Additional Information

Abstract: In this paper we consider the eigenvalue problem, intersection theory of homogeneous spaces (in particular, the Horn problem) and the saturation problem for the symplectic and odd orthogonal groups. The classical embeddings of these groups in the special linear groups play an important role. We deduce properties for these classical groups from the known properties for the special linear groups.

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Additional Information

Prakash Belkale
Affiliation: Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599–3250
MR Author ID: 684040
Email: belkale@email.unc.edu

Shrawan Kumar
Affiliation: Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599–3250
MR Author ID: 219351
Email: shrawan@email.unc.edu

Received by editor(s): August 3, 2007
Received by editor(s) in revised form: July 2, 2008
Published electronically: June 16, 2009
Additional Notes: Both the authors were supported by the FRG grant no DMS-0554247 from NSF