Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit constructions of unitary transformations between equivalent
  irreducible representations   Irreducible representations (irreps) of a finite group $G$ are equivalent if
there exists a similarity transformation between them. In this paper, we
describe an explicit algorithm for constructing this transformation between a
pair of equivalent irreps, assuming we are given an algorithm to compute the
matrix elements of these irreps. Along the way, we derive a generalization of
the classical orthogonality relations for matrix elements of irreps of finite
groups. We give an explicit form of such unitary matrices for the important
case of conjugated Young-Yamanouchi representations, when our group $G$ is
symmetric group $S(N)$.

17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org