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math.RT2008★ 6 cited
On some representations of degenerate affine Hecke algebras of type
Xiaoguang Ma
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…
math.RA2008★ 3 cited
On universal Lie nilpotent associative algebras
Pavel Etingof, John Kim, Xiaoguang Ma
We study the quotient Q_i(A) of a free algebra A by the ideal M_i(A) generated by relation that the i-th commutator of any elements is zero. In particular, we completely describe s…
math.RT2008★ 3 cited
A Lie-theoretic construction of representations of the degenerate affine and double affine Hecke algebras of type
Pavel Etingof, Rebecca Freund, Xiaoguang Ma
Let G=GL(N), K=GL(p)xGL(q), where p+q=N, and n be a positive integer. We construct a functor from the category of Harish-Chandra modules for the pair (G,K) to the category of repre…