Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite dimensional representations of symplectic reflection algebras
  associated to wreath products II   This note extends some results of a previous paper (math.RT/0403250) about
finite dimensional representations of the wreath product symplectic reflection
algebra H(k,c,N,G) of rank N attached to a finite subgroup G of SL(2,C) (here k
is a number and c a class function on the set of nontrivial elements of G).
Specifically, let N'=(N_1,...,N_r) be a partition of N. Consider W=W_1\otimes
>...\otimes W_r an irreducible representation of S_N'=S_{N_1}\times ...\times
S_{N_r}\subset S_N s.t. W_i has rectangular Young diagram for any i and let
{Y_i}, i=1,...,r be a collection of irreducible non isomorphic representation
of the rank 1 algebra B=H(c_0,1,G) s.t. Ext^1_B(Y_i, Y_j)=0 for any i\neq j.
Consider the module M'=W\otimes Y, where Y=Y_1^{N_1}\otimes ...\otimes
Y_r^{N_r}, over the subalgebra S_N'#B^N \subset S_N#B^N= H(0,c_0,N,G) and form
the induced module M over H(0,c_0,N,G). We show that M can be uniquely deformed
along a linear subspace of codimension r in the space of the parameters (k,c)
passing through c_0. This result implies the main result of math.RT/0403250 as
a particular case, the case of the trivial partition N'=(N).

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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th