{"id":189,"date":"2002-02-13T13:00:00","date_gmt":"2002-02-13T21:00:00","guid":{"rendered":"http:\/\/www.unreality.net\/weblog\/?p=189"},"modified":"2002-02-13T13:00:00","modified_gmt":"2002-02-13T21:00:00","slug":"189","status":"publish","type":"post","link":"https:\/\/www.unreality.net\/weblog\/?p=189","title":{"rendered":""},"content":{"rendered":"<p><font face=\"Verdana\" size=\"2\">These &#8220;What Kind of &#8212; Are You?&#8221; personality tests have run their course. Case in point:<\/font><br \/>\n<\/p>\n<table>\n<tr>\n<td>\n<br \/><img decoding=\"async\" src=\"http:\/\/www.math.mcgill.ca\/~dsavitt\/GTM\/fultharr.jpg\" width=92 height=140 alt=\"\"><\/td>\n<td>\n<\/p>\n<p> <font face=\"Georgia\" size=\"1\">If I were a Springer-Verlag Graduate Text in Mathematics, I would be William Fulton and Joe Harris&#8217;s <b><i>Representation Theory: A First  Course<\/i><\/b>.<\/font><\/p>\n<p><font face=\"Georgia\" size=\"1\">My primary goal is to introduce the beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, my concentration is on examples. The general theory is developed sparingly, and then mainly as a useful and unifying language to describe phenomena already encountered in concrete cases. I begin with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie groups; in particular, the symmetric groups are treated in some detail. My focus then turns to Lie groups and Lie algebras and finally to my heart: working out the finite dimensional representations of the classical groups and exploring the related geometry. The goal of my last portion is to make a bridge between the example-oriented approach of the earlier parts and the general theory.<\/font><br \/>\n<\/p>\n<p><font face=\"Georgia\" size=\"1\">Which Springer GTM would <i>you<\/i> be?<\/font><br \/>\n<br \/><a href=\"http:\/\/www.math.mcgill.ca\/~dsavitt\/GTM.html\"><font face=\"Georgia\" size=\"1\">The Springer GTM Test<\/a><\/font><\/p>\n<\/td>\n<\/tr>\n<\/table>\n<p><font face=\"Verdana\" size=\"2\">Now, I find this <em>mildly<\/em> amusing, since I used to work in a bookstore and was, more than once, responsible for receiving boxes and boxes of Springer-Verlag books (it was a University, we had quote-unquote &#8220;yellow sales,&#8221; it wasn&#8217;t fun), but what&#8217;s the point? Really, what&#8217;s the point? Found at <a href=\"http:\/\/www.espressoferrets.com\/Sannali\/Tuppence\/index.html\">Tuppence<\/a>.<\/font><\/p>\n","protected":false},"excerpt":{"rendered":"<p>These &#8220;What Kind of &#8212; Are You?&#8221; personality tests have run their course. Case in point: If I were a Springer-Verlag Graduate Text in Mathematics, I would be William Fulton and Joe Harris&#8217;s Representation Theory: A First Course. My primary goal is to introduce the beginner to the finite-dimensional representations of Lie groups and Lie &#8230; <a class=\"read-more\" href=\"https:\/\/www.unreality.net\/weblog\/?p=189\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[238],"class_list":["post-189","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.unreality.net\/weblog\/index.php?rest_route=\/wp\/v2\/posts\/189"}],"collection":[{"href":"https:\/\/www.unreality.net\/weblog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.unreality.net\/weblog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.unreality.net\/weblog\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.unreality.net\/weblog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=189"}],"version-history":[{"count":0,"href":"https:\/\/www.unreality.net\/weblog\/index.php?rest_route=\/wp\/v2\/posts\/189\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.unreality.net\/weblog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=189"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.unreality.net\/weblog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=189"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.unreality.net\/weblog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=189"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}