Timeline for Optimal reference for tensor product of symmetric bilinear forms?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| May 26, 2011 at 22:29 | comment | added | Francesco Polizzi | You are welcome. You are right, Greub's book is unfortunately out of print. However, it is possible to buy a (used) copy on amazon.com or abebooks.com spending less than 50 dollars | |
| May 26, 2011 at 17:30 | comment | added | Jim Humphreys | Thanks for this reference, which I wasn't at all familiar with. The advantage is that Greub takes full advantage of universal properties and avoids computations with bases, treating vector spaces of arbitary dimension over any field. The main disadvantage is that the argument for non-degeneracy is fairly long and formal, with some reliance on his earlier book on linear algebra. I've seen the principle applied without further comment and was therefore motivated to check the details concretely, which seems to be straightforward but is unpleasant. | |
| May 26, 2011 at 17:26 | vote | accept | Jim Humphreys | ||
| May 24, 2011 at 17:23 | comment | added | Jim Humphreys | P.S. Both the original Springer edition and the expanded Universitext edition are technically out of print, so hang onto the copy you own. One or two copies of the older edition (but not the newer one) seem to be in Five College libraries, which I will visit in a day or so. | |
| May 24, 2011 at 14:42 | comment | added | Jim Humphreys | I'll check this reference, but meanwhile I should repeat my comment to Allen about wanting to include infinite dimensional vector spaces. (This comes up naturally in a representation theory context.) I'm not familiar enough with Greub's book to see how general he gets, but the reference is probably the right one for the classical case. | |
| May 24, 2011 at 12:33 | history | answered | Francesco Polizzi | CC BY-SA 3.0 |