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Experimental Mathematics Volume 6, 1997 - Issue 2
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Original Articles

Classification of Two Genera of 32-Dimensional Lattices of Rank 8 over the Hurwitz Order

Christine Bachoc Christine Bachoc, A2X Bordeaux, Université de Bordeaux I, 351 cours de la Libération, 33405, Talence, France E-mail: [email protected]
&
Gabriele Nebe Lehrstuhl B fur Mathematik, RWTH Aachen, Templergraben 64, 52062, Aachen, Germany E-mail: [email protected]
Pages 151-162 | Published online: 03 Apr 2012

Citations (11)

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Neil Dummigan & Sebastian Schönnenbeck. (2021) Automorphic Forms on Feit’s Hermitian Lattices. Experimental Mathematics 30:4, pages 557-574.
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Articles from other publishers (10)

Sebastian Schönnenbeck. (2018) Simultaneous computation of Hecke operators. Journal of Algebra 501, pages 571-597.
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Gabriele Nebe. (2016) Automorphisms of extremal unimodular lattices in dimension 72. Journal of Number Theory 161, pages 362-383.
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Andreas Henn, Michael Hentschel, Aloys Krieg & Gabriele Nebe. (2013) On the Classification of Lattices Over Which Are Even Unimodular -Lattices of Rank 32. International Journal of Mathematics and Mathematical Sciences 2013, pages 1-4.
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MICHAEL HENTSCHEL, ALOYS KRIEG & GABRIELE NEBE. (2012) ON THE CLASSIFICATION OF EVEN UNIMODULAR LATTICES WITH A COMPLEX STRUCTURE. International Journal of Number Theory 08:04, pages 983-992.
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Michael Hentschel, Aloys Krieg & Gabriele Nebe. (2010) On the classification of lattices over $\mathbb{Q}(\sqrt{-3})$ , which are even unimodular ℤ-lattices. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 80:2, pages 183-192.
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A. Krieg. (2005) The graded ring of quaternionic modular forms of degree 2. Mathematische Zeitschrift 251:4, pages 929-942.
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Christine Bachoc & Gabriele Nebe. (2002) Zonal Functions for the Unitary Groups and Applications to Hermitian Lattices. Journal of Number Theory 96:1, pages 55-75.
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Daniel Allcock. (2000) New complex- and quaternion-hyperbolic reflection groups. Duke Mathematical Journal 103:2.
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Rudolf Scharlau & Rainer Schulze-Pillot. 1999. Algorithmic Algebra and Number Theory. Algorithmic Algebra and Number Theory 139 170 .
Gabriele Nebe. (1998) Finite quaternionic matrix groups. Representation Theory of the American Mathematical Society 2:5, pages 106-223.
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