Equivariant Giambelli Formulae for Grassmannians
by McLaughlin (Wilson), Elizabeth V., Ph.D., UNIVERSITY OF MARYLAND, COLLEGE PARK, 2010, 101 pages; 3443523

Abstract:

In this thesis we use Young's raising operators to define and study polynomials which represent the Schubert classes in the equivariant cohomology ring of Grassmannians. For the type A and maximal isotropic Grassmannians, we show that our expressions coincide with the factorial Schur S, P, and Q functions. We define factorial theta polynomials, and conjecture that these represent the Schubert classes in the equivariant cohomology of non-maximal symplectic Grassmannians. We prove that the factorial theta polynomials satisfy the equivariant Chevalley formula, and that they agree with the type C double Schubert polynomials of [IMN] in some cases.

 
AdviserHarry Tamvakis
SchoolUNIVERSITY OF MARYLAND, COLLEGE PARK
SourceDAI/B 72-04, p. , Mar 2011
Source TypeDissertation
SubjectsMathematics
Publication Number3443523
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