Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Group contraction
open-in-new
<h2 id="notes">Notes</h2> <ul><li>Dooley, A. H.; Rice, J. W. (1985). <a href="https://www.ams.org/journals/tran/1985-289-01/S0002-9947-1985-0779059-4/S0002-9947-1985-0779059-4.pdf">"On contractions of semisimple Lie groups"</a> (PDF). <i><a href="/facts/Transactions_of_the_American_Mathematical_Society/JmKtyCwK">Transactions of the American Mathematical Society</a></i>. 289 (1): 185–202. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.2307%2F1999695">10.2307/1999695</a>. <a href="/facts/ISSN_(identifier)/DPAflDvU">ISSN</a> <a href="https://search.worldcat.org/issn/0002-9947">0002-9947</a>. <a href="/facts/JSTOR_(identifier)/YTeVmaJ7">JSTOR</a> <a href="https://www.jstor.org/stable/1999695">1999695</a>. <a href="/facts/MR_(identifier)/uP137L11">MR</a> <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=0779059">0779059</a>.</li> <li>Gilmore, Robert (2006). <i>Lie Groups, Lie Algebras, and Some of Their Applications</i>. Dover Books on Mathematics. <a href="/facts/Dover_Publications/RwjvlSFv">Dover Publications</a>. <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 0486445291. <a href="/facts/MR_(identifier)/uP137L11">MR</a> <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=1275599">1275599</a>.</li> <li><a href="/facts/Erdal_In%25C3%25B6n%25C3%25BC/xRBCMykE">Inönü, E.</a>; <a href="/facts/E._P._Wigner/HvWgw4KX">Wigner, E. P.</a> (1953). <a href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1063815">"On the Contraction of Groups and Their Representations"</a>. <i>Proc. Natl. Acad. Sci</i>. 39 (6): 510–24. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/1953PNAS...39..510I">1953PNAS...39..510I</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1073%2Fpnas.39.6.510">10.1073/pnas.39.6.510</a>. <a href="/facts/PMC_(identifier)/dX1zMt71">PMC</a> <a href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1063815">1063815</a>. <a href="/facts/PMID_(identifier)/JlHAvMHt">PMID</a> <a href="https://pubmed.ncbi.nlm.nih.gov/16589298">16589298</a>.</li> <li>Saletan, E. J. (1961). "Contraction of Lie Groups". <i><a href="/facts/Journal_of_Mathematical_Physics/hfGFBt5M">Journal of Mathematical Physics</a></i>. 2 (1): 1–21. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/1961JMP.....2....1S">1961JMP.....2....1S</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1063%2F1.1724208">10.1063/1.1724208</a>.</li> <li><a href="/facts/Irving_Segal/SasFUqI8">Segal, I. E.</a> (1951). "A class of operator algebras which are determined by groups". <i><a href="/facts/Duke_Mathematical_Journal/S6wn8HYp">Duke Mathematical Journal</a></i>. 18: 221. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1215%2FS0012-7094-51-01817-0">10.1215/S0012-7094-51-01817-0</a>.</li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>Inönü & Wigner 1953 - Inönü, E.; Wigner, E. P. (1953). "On the Contraction of Groups and Their Representations". Proc. Natl. Acad. Sci. 39 (6): 510–24. Bibcode:1953PNAS...39..510I. doi:10.1073/pnas.39.6.510. PMC 1063815. PMID 16589298. <a href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1063815" target="_blank">https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1063815</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Segal 1951, p. 221 - Segal, I. E. (1951). "A class of operator algebras which are determined by groups". Duke Mathematical Journal. 18: 221. doi:10.1215/S0012-7094-51-01817-0. <a href="https://doi.org/10.1215%2FS0012-7094-51-01817-0" target="_blank">https://doi.org/10.1215%2FS0012-7094-51-01817-0</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> <li id="fn:3"><p>Saletan 1961, p. 1 - Saletan, E. J. (1961). "Contraction of Lie Groups". Journal of Mathematical Physics. 2 (1): 1–21. Bibcode:1961JMP.....2....1S. doi:10.1063/1.1724208. <a href="https://ui.adsabs.harvard.edu/abs/1961JMP.....2....1S" target="_blank">https://ui.adsabs.harvard.edu/abs/1961JMP.....2....1S</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li> <li id="fn:4"><p>Gilmore 2006 - Gilmore, Robert (2006). Lie Groups, Lie Algebras, and Some of Their Applications. Dover Books on Mathematics. Dover Publications. ISBN 0486445291. MR 1275599. <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=1275599" target="_blank">https://mathscinet.ams.org/mathscinet-getitem?mr=1275599</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li> </ol>