Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative deformation and essence of a postulate of isotropy
  Iliusin   For construction of the general theory it is necessary, first of all, to
refuse from traditional performance of the elastic theory of field, within the
framework of which the static processes with commutative quantities are
described only. The space of deformation should be considered as noncommutative
\.
  Under action of any forces this space will proceed in cotangent bundle. When
the action will achieve limiting value the status of deformation will be in
strong fluctuation . Then we receive distribution of probability of transition
to plasticity. Besides thanking noncommutativity we shall receive the
symplectic structure.
  Only in this case it is possible to understand the essence of a postulate of
isotropy Iliusin. And, may be, all other results of the classical theory can be
received as special cases of our general model.

29
The categories of this paper are: funct-an
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex