Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation ring of Levi subgroups versus cohomology ring of flag
  varieties II   For any reductive group G and a parabolic subgroup P with its Levi subgroup
L, the first author in [Ku2] introduced a ring homomorphism $ \xi^P_\lambda:
Rep^\mathbb{C}_{\lambda-poly}(L) \to H^*(G/P, \mathbb{C})$, where $
Rep^\mathbb{C}_{\lambda-poly}(L)$ is a certain subring of the complexified
representation ring of L (depending upon the choice of an irreducible
representation $V(\lambda)$ of G with highest weight $\lambda$). In this paper
we study this homomorphism for G=Sp(2n) and its maximal parabolic subgroups
$P_{n-k}$ for any $1\leq k\leq n$ (with the choice of $V(\lambda) $ to be the
defining representation $V(\omega_1) $ in $\mathbb{C}^{2n}$). Thus, we obtain a
$\mathbb{C}$-algebra homomorphism $ \xi_{n,k}:
Rep^\mathbb{C}_{\omega_1-poly}(Sp(2k)) \to H^*(IG(n-k, 2n), \mathbb{C})$. Our
main result asserts that $ \xi_{n,k}$ is injective when n tends to $\infty$
keeping k fixed. Similar results are obtained for the odd orthogonal groups.

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The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ex