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- Title
Initial Ideals of Tangent Cones to the Richardson Varieties in the Orthogonal Grassmannian.
- Authors
Upadhyay, Shyamashree
- Abstract
A Richardson variety Xαγ in the Orthogonal Grassmannian is defined to be the intersection of a Schubert variety Xγ in the Orthogonal Grassmannian and an opposite Schubert variety Xα therein. We give an explicit description of the initial ideal (with respect to certain conveniently chosen term order) for the ideal of the tangent cone at any T-fixed point of Xα γ, thus generalizing a result of Raghavan and Upadhyay (2009). Our proof is based on a generalization of the Robinson-Schensted-Knuth (RSK) correspondence, which we call the Orthogonal-bounded-RSK (OBRSK).
- Subjects
TANGENT function; RICHARDSON extrapolation; ORTHOGONAL functions; GRASSMANN manifolds; SCHUBERT varieties; GENERALIZATION; FIXED point theory
- Publication
International Journal of Combinatorics, 2013, p1
- ISSN
1687-9163
- Publication type
Article
- DOI
10.1155/2013/392437