Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional equations for quantum theta functions   Quantum theta functions were introduced by the author in [Ma1]. They are
certain elements in the function rings of quantum tori. By definition, they
satisfy a version of the classical functional equations involving shifts by the
multiplicative periods. This paper shows that for a certain subclass of period
lattices (compatible with the quantization form), quantum thetas satisfy an
analog of another classical functional equation related to an action of the
metaplectic group upon the (half of) the period matrix. In the quantum case,
this is replaced by the action of the special orthogonal group on the
quantization form, which provides Morita equivalent tori. The argument uses
Rieffel's approach to the construction of (strong) Morita equivalence bimodules
and the associativity of Rieffel's scalar products.

31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol