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https://hdl.handle.net/20.500.12202/3200
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DC Field | Value | Language |
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dc.contributor.author | Merewether, James William | |
dc.date.accessioned | 2018-07-12T18:27:16Z | |
dc.date.available | 2018-07-12T18:27:16Z | |
dc.date.issued | 1986 | |
dc.identifier.citation | Source: Dissertation Abstracts International, Volume: 49-07, Section: B, page: 2689. | |
dc.identifier.uri | https://ezproxy.yu.edu/login?url=http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:8812490 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12202/3200 | |
dc.description.abstract | A formulation of the algebraic structures of a classical mechanics over fields of characteristic p {dollar}>{dollar} 0 is presented. It is shown how a definition of an abstract mechanics, which is a composition class of two-product algebras, allows for realizations over fields of characteristic p {dollar}>{dollar} 0. A broad class of such realizations of simple two-product algebras is derived and their structure examined. They are shown to be simple nodal noncommutative Jordan algebras, defined by a non-degenerate skew-symmetric bilinear form, over the field of intergers modulo p (p prime). Equations for determination of the automorphism group of the algebras are deduced. The affine restriction of the canonical group is given explicitly. Finally, a characteristic p {dollar}>{dollar} 0 analog of the Galilei group is given and its canonical realizations are produced. | |
dc.publisher | ProQuest Dissertations & Theses | |
dc.subject | Physics. | |
dc.title | Classical mechanics over fields of characteristic p greater than 0 | |
dc.type | Dissertation | |
Appears in Collections: | Mathematical Sciences Dissertations |
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