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mathoverflow.net/questions/78023/genus-and-spinor-genus...
mathoverflow.net/questions/78023/genus-and-spinor-genus-of-a-lattice
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Oct 13, 2011 ... Hi, I'm looking for a motivation for the names genus and spinor genus of a lattice ( and spinor norm of an isometry). Is there any relation between ...
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plms.oxfordjournals.org/content/s3-40/1/40.full.pdf
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to develop a character theory for spinor genera of such forms in [6]. A multiplicative ... Several aspects of the binary spinor genus theory differ markedly from ...
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www.math.niu.edu/help/math/magmahelp/text813.html
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Each genus consists of 2^n spinor genera, for some integer n, typically 1. The spinor genera share the same type SymGen. Unlike the genus, the spinor genus is ...
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www.math.uni-sb.de/ag/schulze/Preprints/feixu_rsp_spino...
www.math.uni-sb.de/ag/schulze/Preprints/feixu_rsp_spinorgenera.pdf
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REPRESENTATIONS BY SPINOR GENERA. OF TERNARY QUADRATIC FORMS. Rainer Schulze-Pillot and Fei Xu. §1. Introduction. It is our basic question to ...
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linkinghub.elsevier.com/retrieve/pii/0022314X83900513
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There exist an effectively determinable prime p and a form g′, belonging to the proper spinor genus of g, such that g′ is a p-neighbor of f in the graph of f.
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www2.research.att.com/~njas/lattices/Jagy.txt
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{Disc, 64, Coeff, {2, 2, 5, 2, 2, 0}, Spinor Genus Size, 1} {Disc, 108, Coeff, {3, 3, 4, 0, 0, 3}, Spinor Genus Size, 1} {Disc, 108, Coeff, {3, 4, 4, 4, 3, 3}, Spinor Genus ...
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www.jstor.org/stable/1997236
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generic module is cyclic if and only if every class in the spinor genus of. D represents a unit in D. One consequence is that ) is in a spinor genus of one class if ...
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citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.145.9...
citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.145.966&rep=rep1&type=pdf
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the growth of the number of spinor genera in the genus of L. Let Ln be the ... is even, examples show that the spinor genera in a given genus may collapse.
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www.ams.org/journals/tran/1975-211-00/S0002-9947-1975-0...
www.ams.org/journals/tran/1975-211-00/S0002-9947-1975-0376526-6/S0002-9947-1975-0376526-6.pdf
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generic module is cyclic if and only if every class in the spinor genus of. 3 represents ... a spinor genus of one class is that every right 3,-generic pair be equiv- ...
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