BABYL OPTIONS: -*- rmail -*- Version: 5 Labels: Note: This is the header of an rmail file. Note: If you are seeing it in rmail, Note: it means the file has no messages in it.  1, filed, edited, forwarded,, Mail-from: From hovey@math.mit.edu Fri Feb 3 09:53:22 1995 Return-Path: Received: from nevanlinna.mit.edu by math.mit.edu (4.1/Math-2.0) id AA23567; Fri, 3 Feb 95 09:51:15 EST From: Mark Hovey Received: by nevanlinna.mit.edu; Fri, 3 Feb 95 09:51:11 EST Date: Fri, 3 Feb 95 09:51:11 EST Message-Id: <9502031451.AA21474@nevanlinna.mit.edu> To: hovey@math.mit.edu Subject: Hopf mailing list Reply-To: hovey@math.mit.edu *** EOOH *** Return-Path: From: Mark Hovey Date: Sun, 18 Aug 96 09:51:11 EST To: hovey@math.mit.edu Subject: Hopf mailing list Reply-To: hovey@math.mit.edu We have 6 new papers on hopf this time. Happy New Year! Mark Hovey New papers uploaded to Hopf between 12/20/96 and 12/30/96: 1. /pub/Dwyer/Exotic.Cohomology.GLnZhalf This is a new version of a paper already on the archive. I don't know how extensive the changes are. 2. /pub/Neumann-Neusel-Smith/ag1 Title: Rings of Generalized and Stable Invariants of Pseudoreflections and Pseudoreflection Groups Authors: Frank Neumann, Mara D. Neusel and Larry Smith Abstract: Let \rho: G --> GL(n, F) be a representation of a finite group G over the field F and F[V] the space of polynomial functions on V=F^n. We associate to G an ideal J_\infty(G) of F[V] called the ideal of stable invariants of \rho. If S is a set of pseudoreflections we associate to S the ideal I(S) of F[V] called the ideal of generalized invariants of S in the sense of Kac and Peterson. When G is a pseudoreflection group we investigate I(S) for various choices of S and the relation between J_\infty(G) and I(S). To a representation \rho, respectively to a set S of pseudoreflections, we also associate the rings gr_J_\infty(G) respectively gr_I(S) of stable and generalized invariants. We show that gr_I(S) is always a polynomial algebra over F and whenever \rho(G) is generated by semisimple pseudoreflections S that gr_J_\infty(G)=gr_I(S). This is the version which is published in J. of Algebra 182 (1996), 85-122. 3. /pub/Neumann-Neusel-Smith/ag4 (The fonts are weird in this file--I had trouble with my dvi viewer--Mark) Title: Rings of Generalized and Stable Invariants and Classifying Spaces of Compact Lie Groups Authors: Frank Neumann, Mara D. Neusel and Larry Smith Abstract: Let G be a compact connected Lie group with maximal torus T and Weyl group W(G). We show that the Eilenberg-Moore spectral sequence mod p (p odd prime) of the fibration G --> G/T --> BT collapses at the term E_2. This gives as corollary a different proof of the theorem of Kac, that the Serre Spectral sequence of the fibration T --> G --> G/T collapses at the term E_3. As an important step in the proof we show that the kernel of the induced map H^*(BT, F_p) --> H^*(G/T, F_p) can be identified with the ideal J_\infty (W(G)) in H^*(BT, F_p) of stable invariants of the Weyl group. The result can be applied to study torsion questions of H^*(BG, Z) in terms of the Weyl group action. This is the old version of the paper submitted to Inv. Math. 4. /pub/Shank/fmodsi Formal Modular Seminvariants R. James Shank Abstract: We construct a generating set for the ring of invariants for the four and five dimensional indecomposable modular representations of a cyclic group of prime order. We then observe that for the four dimensional representation the ring of invariants is generated in degrees less than or equal to 2p-3, and for the five dimensional representation the ring of invariants is generated in degrees less than or equal to 2p-2. 5. /pub/Strickland/mult Products on MU-modules by Neil Strickland We use the new categories of spectra and $MU$-modules constructed by Elmendorf, Kriz, Mandell and May to get improved results about multiplicative structures on spectra such as $P(n)$ and $E(n)$, particularly in the case $p=2$. 6. /pub/Strickland/poly Morava E-theory of symmetric groups by Neil Strickland We compute the completed $E(n)$ cohomology of the classifying spaces of the symmetric groups, and relate the answer to the theory of finite subgroups of formal groups. ---------------------Instructions----------------------------- To subscribe or unsubscribe to this list, send a message to Don Davis at dmd1@lehigh.edu with your e-mail address and name. Please make sure he is using the correct e-mail address for you. To see past issues of this mailing list, point your WWW browser to http://www-math.mit.edu/~hovey/ If this doesn't work or is missing a few issues, try http://www.lehigh.edu/~dmd1/public/www-data/algtop.html , which also has the other messages sent to Don's list. To get the papers listed above, point your WWW client (Mosaic, Netscape) to http://hopf.math.purdue.edu/pub/hopf.html There are links to conference announcements, Purdue seminars, and other math related things on this page as well. You can also use ftp to hopf.math.purdue.edu, and login as ftp. Then cd to pub. Files are organized by author name, so papers by me are in pub/Hovey. If you want to download a file using ftp, you must type binary before you type get . To put a paper of yours on the archive, cd to /pub/incoming. Transfer the dvi file using binary, by first typing binary then put You should also transfer an abstract as well. To do this take the TeX file and save the abstract to a different file, without any \begin{document} commands or anything, and transfer that file. You can use ascii instead of binary for this. I am solely responsible for this mailing list---don't send complaints about it to Clarence. Thanks to Clarence for creating and maintaining the archive.