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Jul 9, 2011 at 11:47 comment added André Henriques Yes. You can also take direct sum, followed by the map induced by an isomorphism $H \cong H\oplus H$.
Jul 9, 2011 at 9:05 comment added Ulrich Pennig Thank you, André. Actually, the H-space structure for the sum should be just the composition in the group U(Q), shouldn't it?
Jul 8, 2011 at 18:46 comment added André Henriques I'd like to clarify one point. There exists two H-space structures on U(Q): one for the sum and one for the product of vector bundles. The H-space structure for the sum is easy (and that's not what the question is about). The H-space structure for product is more tricky, and I can't think of an explicit description...
Jul 8, 2011 at 13:02 history asked Ulrich Pennig CC BY-SA 3.0