@ 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journal = {Unpublished master 's thesis},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) representa tions 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",
}
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