TY - JOUR
T1 - POLYNOMIALS FOR SYMMETRIC ORBIT CLOSURES IN THE FLAG VARIETY
AU - Wyser, B.
AU - Yong, A.
N1 - Publisher Copyright:
© 2016, Springer Science+Business Media New York.
PY - 2017/3/1
Y1 - 2017/3/1
N2 - In [WY] we introduced polynomial representatives of cohomology classes of orbit closures in the flag variety, for the symmetric pair (GLp+q, GLp × GLq). We present analogous results for the remaining symmetric pairs of the form (GLn, K), i.e., (GLn, On) and (GL2n, Sp2n). We establish “well-definedness” of certain representatives from [Wy1]. It is also shown that the representatives have the combinatorial properties of nonnegativity and stability. Moreover, we give some extensions to equivariant K-theory.
AB - In [WY] we introduced polynomial representatives of cohomology classes of orbit closures in the flag variety, for the symmetric pair (GLp+q, GLp × GLq). We present analogous results for the remaining symmetric pairs of the form (GLn, K), i.e., (GLn, On) and (GL2n, Sp2n). We establish “well-definedness” of certain representatives from [Wy1]. It is also shown that the representatives have the combinatorial properties of nonnegativity and stability. Moreover, we give some extensions to equivariant K-theory.
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U2 - 10.1007/s00031-016-9381-x
DO - 10.1007/s00031-016-9381-x
M3 - Article
AN - SCOPUS:84962834100
SN - 1083-4362
VL - 22
SP - 267
EP - 290
JO - Transformation Groups
JF - Transformation Groups
IS - 1
ER -