Wikipedia:Reference desk/Archives/Mathematics/2013 February 24
| Mathematics desk | ||
|---|---|---|
| < February 23 | << Jan | February | Mar >> | February 25 > |
| Welcome to the Wikipedia Mathematics Reference Desk Archives |
|---|
| The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
February 24
editTerminology in Representation Theory
editSuppose one has an action of a group G on a vector V space and a map that is not a homomophism into GL(V) but instead satisfies Π(g1g2) = Π(g2)Π(g1). Is there a standard name for such an "anti-representation"? Same question for Lie algebras; π([X,Y]) = - [π(X),π(Y)]? YohanN7 (talk) 20:43, 24 February 2013 (UTC)
- What you are describing is a right group action on the vector space. (Usually groups are thought of as acting on the left.) The same with the Lie algebra. Sławomir Biały (talk) 21:15, 24 February 2013 (UTC)
- Aha, thank you sir! That was too obvious for me to think of. YohanN7 (talk) 23:23, 24 February 2013 (UTC)