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- W1527682739 abstract "Let G=U(p,q) and K=U(p)xU(q). In arXiv:0801.1530, the authors construct a functor from the category of Harish-Chandra modules for the pair (G,K) to the category of representations of the degenerate affine Hecke algebra of type B_n. In this paper, we study the image of the principal series modules of G under this functor. We describe the dAHA module structure of the image by constructing a family of common eigenvectors of {y_i}. In the rank 1 case, we write down an explicit formula for the generator y_{1} in terms of central elements of U(g) and calculate the eigenvalue of y_{1} by using the central characters." @default.
- W1527682739 created "2016-06-24" @default.
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- W1527682739 date "2008-10-05" @default.
- W1527682739 modified "2023-09-27" @default.
- W1527682739 title "On some representations of degenerate affine Hecke algebras of type $BC_{n}$" @default.
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