Equivariant K-theory of quaternionic flag manifolds
2009 ◽
Vol 4
(3)
◽
pp. 537-557
Keyword(s):
K Theory
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AbstractWe consider the manifold Fln(ℍ) = Sp(n)/Sp(1)n of all complete flags in ℍn, where ℍ is the skew-field of quaternions. We study its equivariant complex K-theory rings with respect to the action of two groups: Sp(1)n and a certain canonical subgroup T = (S1)n (a maximal torus). For the first group action we obtain a Goresky-Kottwitz-MacPherson type description. For the second one, we describe the ring KT(Fln(ℍ)) as a subring of KT(Sp(n)/T). This ring is well known, since Sp(n)/T is a complex flag variety.
1995 ◽
Vol 2
(2)
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pp. 179-191
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2009 ◽
Vol 148
(3)
◽
pp. 501-538
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2002 ◽
Vol 29
(11)
◽
pp. 651-664
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2015 ◽
Vol 18
(1)
◽
pp. 489-506
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2010 ◽
pp. 69-109
Keyword(s):