Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduction of quantum systems with arbitrary first class constraints and
  Hecke algebras   We propose a method for reduction of quantum systems with arbitrary first
class constraints. An appropriate mathematical setting for the problem is
homology of associative algebras. For every such an algebra $A$ and its
subalgebra B with an augmentation e there exists a cohomological complex which
is a generalization of the BRST one. Its cohomology is an associative graded
algebra Hk^{*}(A,B) which we call the Hecke algebra of the triple (A,B,e). It
acts in the cohomology space H^{*}(B,V) for every left A- module V. In
particular the zeroth graded component Hk^{0}(A,B) acts in the space of B-
invariants of V and provides the reduction of the quantum system.

18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat