John Baez
May7-05, 12:20 AM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>\nIn the 2004-2005 academic year, the Quantum Gravity Seminar\nat UCR is about gauge theory and topology. Derek Wise is\ntaking notes on my lectures.\n\nIn week 7 of the Fall quarter:\n\nhttp://math.ucr.edu/home/baez/qg-fall2004/f04week07.pdf\n\nwe continued discussing the Fukuma-Hosono-Kawai construction of\n2d topological quantum field theories from semisimple algebras.\n\nNormally people define a semisimple algebra to be one that\'s\na direct sum of algebras with no nontrivial ideals. This week\nwe saw how to express the condition that an algebra is semisimple\nusing Feynman diagrams!\n\nYou can see the original paper by Fukuma, Hosono and Kawai here:\n\nhttp://www.arxiv.org/abs/hep-th/9212154\n\nThere was also a homework assignment on the concept of\n"nondegenerate pairings":\n\nhttp://math.ucr.edu/home/baez/qg-fall2004/pairings.pdf\n\nThis was hard enough that only Derek Wise gave a complete answer:\n\nhttp://math.ucr.edu/home/baez/qg-fall2004/pairings_derek.pdf\n\nNotes from the whole fall quarter can be found here:\n\nhttp://math.ucr.edu/home/baez/qg-fall2004/\n\nNotes from other sessions of the Quantum Gravity Seminar\nare here:\n\nhttp://math.ucr.edu/home/baez/QG.html\n\n\n\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form"> View this Usenet post in original ASCII form </a></div><P></jabberwocky>In the 2004-2005 academic year, the Quantum Gravity Seminar
at UCR is about gauge theory and topology. Derek Wise is
taking notes on my lectures.
In week 7 of the Fall quarter:
http://math.ucr.edu/home/baez/qg-fall2004/f04week07.pdf
we continued discussing the Fukuma-Hosono-Kawai construction of
2d topological quantum field theories from semisimple algebras.
Normally people define a semisimple algebra to be one that's
a direct sum of algebras with no nontrivial ideals. This week
we saw how to express the condition that an algebra is semisimple
using Feynman diagrams!
You can see the original paper by Fukuma, Hosono and Kawai here:
http://www.arxiv.org/abs/http://www.arxiv.org/abs/hep-th/9212154
There was also a homework assignment on the concept of
"nondegenerate pairings":
http://math.ucr.edu/home/baez/qg-fall2004/pairings.pdf
This was hard enough that only Derek Wise gave a complete answer:
http://math.ucr.edu/home/baez/qg-fall2004/pairings_derek.pdf
Notes from the whole fall quarter can be found here:
http://math.ucr.edu/home/baez/qg-fall2004/
Notes from other sessions of the Quantum Gravity Seminar
are here:
http://math.ucr.edu/home/baez/QG.html
at UCR is about gauge theory and topology. Derek Wise is
taking notes on my lectures.
In week 7 of the Fall quarter:
http://math.ucr.edu/home/baez/qg-fall2004/f04week07.pdf
we continued discussing the Fukuma-Hosono-Kawai construction of
2d topological quantum field theories from semisimple algebras.
Normally people define a semisimple algebra to be one that's
a direct sum of algebras with no nontrivial ideals. This week
we saw how to express the condition that an algebra is semisimple
using Feynman diagrams!
You can see the original paper by Fukuma, Hosono and Kawai here:
http://www.arxiv.org/abs/http://www.arxiv.org/abs/hep-th/9212154
There was also a homework assignment on the concept of
"nondegenerate pairings":
http://math.ucr.edu/home/baez/qg-fall2004/pairings.pdf
This was hard enough that only Derek Wise gave a complete answer:
http://math.ucr.edu/home/baez/qg-fall2004/pairings_derek.pdf
Notes from the whole fall quarter can be found here:
http://math.ucr.edu/home/baez/qg-fall2004/
Notes from other sessions of the Quantum Gravity Seminar
are here:
http://math.ucr.edu/home/baez/QG.html