paper.bib

@ARTICLE{deklerk:2007,
    author="de Klerk, Etienne and Pasechnik, Dmitrii V. and Schrijver, Alexander",
    title="Reduction of symmetric semidefinite programs using the regular $\ast$-representation",
    journal="Mathematical Programming",
    year="2007",
    month="Mar",
    day="01",
    volume="109",
    number="2",
    pages="613--624",
    issn="1436-4646",
    doi="10.1007/s10107-006-0039-7",
    url="https://doi.org/10.1007/s10107-006-0039-7"
}

@ARTICLE{kanno:1970,
    author = {Y. Kanno and M. Ohsaki and K. Murota and N. Katoh},
    title = {Group symmetry in interior-point methods for semidefinite programming},
    journal = {Optimization and Engineering},
    year = {1970},
    pages = {293--320},
    doi = {10.1023/A:1015366416311}
}

@ARTICLE{hymabaccus:2019,
    author = {Hymabaccus, Kaashif},
    title = {Decomposing Linear Representations of Finite Groups},
    journal = {Unpublished master's thesis},
    publisher = {University of Oxford},
    organization = {University of Oxford},
    year = {2019},
}

@book {serre:1977,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Linear representations of finite groups},
      NOTE = {Translated from the second French edition by Leonard L. Scott,
              Graduate Texts in Mathematics, Vol. 42},
 PUBLISHER = {Springer-Verlag, New York-Heidelberg},
      YEAR = {1977},
     PAGES = {x+170},
      ISBN = {0-387-90190-6},
   MRCLASS = {20CXX},
  MRNUMBER = {0450380},
MRREVIEWER = {W. Feit},
}

@article{dixon:1970,
 ISSN = {00255718, 10886842},
 doi = {10.2307/2004848},
 abstract = {How can you find a complete set of inequivalent irreducible (ordinary) representations of a finite group? The theory is classical but, except when the group was very small or had a rather special structure, the actual computations were prohibitive before the advent of high-speed computers; and there remain practical difficulties even for groups of relatively small orders (≤ 100). The present paper describes three techniques to help solve this problem. These are: the reduction of a reducible unitary representation into its irreducible components; the construction of a complete set of irreducible components; the construction of a complete set of irreducible unitary representations from a single faithful representation; and the calculation of the precise values of a group character from values which have only been computed approximately.},
 author = {John D. Dixon},
 journal = {Mathematics of Computation},
 number = {111},
 pages = {707--712},
 publisher = {American Mathematical Society},
 title = {Computing Irreducible Representations of Groups},
 volume = {24},
 year = {1970}
}

@manual{gap:2020,
    key          = "GAP",
    organization = "The GAP~Group",
    title        = "{GAP -- Groups, Algorithms, and Programming,
                    Version 4.11.0}",
    year         = 2020,
    url          = "https://www.gap-system.org",
}