{"title":"广义Gell-Mann矩阵中张量交换矩阵的表达式","authors":"Rakotonirina Christian","doi":"10.1155/2007/20672","DOIUrl":null,"url":null,"abstract":"We have expressed the tensor commutation matrix n⊗n as linear combination of the tensor products of the generalized Gell-Mann matrices. The tensor commutation matrices 3⊗2 and 2⊗3 have been expressed in terms of the classical Gell-Mann matrices and the Pauli matrices.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2007 1","pages":"1-10"},"PeriodicalIF":1.0000,"publicationDate":"2005-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2007/20672","citationCount":"8","resultStr":"{\"title\":\"Expression of a Tensor Commutation Matrix in Terms of the Generalized Gell-Mann Matrices\",\"authors\":\"Rakotonirina Christian\",\"doi\":\"10.1155/2007/20672\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We have expressed the tensor commutation matrix n⊗n as linear combination of the tensor products of the generalized Gell-Mann matrices. The tensor commutation matrices 3⊗2 and 2⊗3 have been expressed in terms of the classical Gell-Mann matrices and the Pauli matrices.\",\"PeriodicalId\":39893,\"journal\":{\"name\":\"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES\",\"volume\":\"2007 1\",\"pages\":\"1-10\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2005-11-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1155/2007/20672\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2007/20672\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2007/20672","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Expression of a Tensor Commutation Matrix in Terms of the Generalized Gell-Mann Matrices
We have expressed the tensor commutation matrix n⊗n as linear combination of the tensor products of the generalized Gell-Mann matrices. The tensor commutation matrices 3⊗2 and 2⊗3 have been expressed in terms of the classical Gell-Mann matrices and the Pauli matrices.
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The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.
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