Here is a question from your moderator, Don Davis. First, let me remind you about a couple of things regarding this discussion group: a. If you wish to respond directly to someone who posts a message, you must send to them at their e-mail address. If you just do an automatic reply, it will come to me. If you want your response to go to the whole group, then you can just do an automatic reply, and I will send it to the group. b. There is an archive of most messages which have been posted to this group, now almost 3 years old. It is at http://www.lehigh.edu/~dmd1/algtop.html The archive also contains links to homepages of many of you, and to some other sites of relevance to topologists. If you wish your homepage to be listed, let me know. Now for my question: Has anyone computed the Adams operations in K(G), where G is the exceptional Lie group E_7 or E_8? Watanabe did it when G = G_2, F_4, and E_6 by computing the Chern character, from which the Adams operations follow easily. Watanabe's result together with Bousfield's new approach to v1-periodic homotopy groups gives a new calculation of v1-periodic homotopy groups of these spaces, somewhat simpler than that which Bendersky and I did using the unstable Novikov spectral sequence. When I read Frank Adams' paper, "The fundamental representations of E_8," (Contemp Math 37 (1985)), I wonder whether he might have done it, for he talks about a book on exceptional Lie groups which he had in preparation. Did he ever talk or write to any of you about this? Don Davis dmd1@lehigh.edu