Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Dolbeault sequences in parabolic geometry   In this paper, we show the existence of a sequence of invariant differential
operators on a particular homogeneous model $G/P$ of a Cartan geometry. The
first operator in this sequence can be locally identified with the Dirac
operator in $k$ Clifford variables, $D=(D_1,..., D_k)$, where $D_i=\sum_j
e_j\cdot \partial_{ij}: C^\infty((\R^n)^k,\S)\to C^\infty((\R^n)^k,\S)$. We
describe the structure of these sequences in case the dimension $n$ is odd. It
follows from the construction that all these operators are invariant with
respect to the action of the group $G$.
  These results are obtained by constructing homomorphisms of generalized Verma
modules, what are purely algebraic objects.

26
The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org