Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dirac Index and Twisted Characters   Let G be a real reductive Lie group with maximal compact sub- group K. We
generalize the usual notion of Dirac index to a twisted version, which is
nontrivial even in case G and K do not have equal rank. We compute ordinary and
twisted indices of standard modules. As applications, we study extensions of
Harish-Chandra modules and twisted characters.

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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio