Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bitableaux bases for Garsia-Haiman modules of hollow type   Garsia-Haiman modules are quotient rings in variables X_n={x_1, x_2, ...,
x_n} and Y_n=y_1, y_2, ..., y_n} that generalize the quotient ring C[X_n]/I,
where I is the ideal generated by the elementary symmetric polynomials e_j(X_n)
for 1 <= j <= n. A bitableaux basis for the Garsia-Haiman modules of hollow
type is constructed. Applications of this basis to representation theory and
other related polynomial spaces are considered.

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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga