Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Study of Gram Matrices in Fock Representation of Multiparametric
  Canonical Commutation Relations, Extended Zagier's Conjecture, Hyperplane
  Arrangements and Quantum Groups   In this Colloqium Lecture (by one of the authors (D.S)) a thorough
presentation of the authors' research on the subjects, stated in the title, is
given. By quite laborious mathematics it is explained how one can handle
systems in which each Heisenberg commutation relation is deformed separately.
For Hilbert space realizability a detailed determinant computations (extending
Zagier's one-parameter formulas) are carried out. The inversion problem of the
associated Gram matrices on Fock weight spaces is completely solved (Extended
Zagier's conjecture) and a counterexample (for $n=8$) to the original Zagier's
conjecture is presented in detail.

16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph