Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric (Clifford) algebra and its applications   In this Master of Science Thesis I introduce geometric algebra both from the
traditional geometric setting of vector spaces, and also from a more
combinatorial view which simplifies common relations and operations. This view
enables us to define Clifford algebras with scalars in arbitrary rings and
provides new suggestions for an infinite-dimensional approach.
  Furthermore, I give a quick review of classic results regarding geometric
algebras, such as their classification in terms of matrix algebras, the
connection to orthogonal and Spin groups, and their representation theory. A
number of lower-dimensional examples are worked out in a systematic way using
so called norm functions, while general applications of representation theory
include normed division algebras and vector fields on spheres.
  I also consider examples in relativistic physics, where reformulations in
terms of geometric algebra give rise to both computational and conceptual
simplifications.

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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: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex