Timeline for Why aren't representations of monoids studied so much?
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Jul 8, 2014 at 15:37 | comment | added | Joshua Grochow | When considering actions of a monoid/semigroup on a set, I understand the desire for using partial maps, but when considering linear actions on a vector space, any partial linear map can be extended by 0 to a non-partial linear map. E.g. in the case of quivers, this extension by 0 preserves all of the compositions, etc. For linear actions, is there a potentially useful or interesting way in which the viewpoint of partial maps make you think about it differently? | |
Aug 31, 2010 at 6:59 | history | answered | user6976 | CC BY-SA 2.5 |