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Condensation of homomorphism spaces

  • Klaus Lux (a1), Max Neunhöffer (a2) and Felix Noeske (a3)

Abstract

We present an efficient algorithm for the condensation of homomorphism spaces. This provides an improvement over the known tensor condensation method which is essentially due to a better choice of bases. We explain the theory behind this approach and describe the implementation in detail. Finally, we give timings to compare with previous methods.

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References

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[6]Müller, J. and Rosenboom, J., ‘Condensation of induced representations and an application: the 2-modular decomposition numbers of Co 2’, Computational methods for representations of groups and algebras (Essen, 1997), Progress in Mathematics 173 (Birkhäuser, Basel, 1999) 309321.
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[8]Noeske, F., ‘Morita-Äquivalenzen in der algorithmischen Darstellungstheorie’, PhD Thesis, RWTH Aachen, 2005.
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Condensation of homomorphism spaces

  • Klaus Lux (a1), Max Neunhöffer (a2) and Felix Noeske (a3)

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