You may wish to look into the Lectures on Classical W-Algebras by L.A. Dickey. Also, there are older lecture notes by C.N. Pope (intended for the physicists, I guess) and another introductory text by G.M.T. Watts.
The first one can be easily guessed - it is mentioned in a comment:
> @მამუკაჯიბლაძე Maybe "introductory text by G.M.T. Watts" is W-algebras and their representations, DOI: 10.1007/BFb0105278, kclpure.kcl.ac.uk/portal/files/5035855/kcl_mth_97_50.pdf (Since the original links is gone, we can only guess. But this seems line a reasonable guess it is also among the reference in the Wikipedia article on W-algebras - ...
My motivation for studying finite W-algebras comes from geometric representation theory; just as the universal enveloping algebra is a quantization of $\mathfrak{g}^*$ with its Kostant-Kirillov Poisson bracket, the W-algebra is a quantization of a Poisson reduction of $\mathfrak{g}^*$, the Slodow...
Thanks a lot @Martin, your link is very helpful as usual! Regardless of whether it is the same or not, this seems to be an excellent text. — მამუკა ჯიბლაძე1 hour ago
Does anyone know of an introduction and motivation for W-algebras?
Edit: Okay, sorry I try to add some more background. W algebras occur, for example when you study nilpotent orbits: Take a nice algebraic/Lie group. It acts on its Lie-algebra by the adjoint action. Fix a nilpotent element e and m...
@MartinSleziak good catch. I've updated the count for the posts that still need manual editing, it's down to 125 from 195 or so. If we slowly edit these to avoid flooding the front page they could be done by the middle of the year.
Concerning the counts, I'll mention that sometimes I post some stats in this chatroom - maybe you have noticed that. (Most recently on January 2.)
@theHigherGeometer OTOH when I thought about this more, I think it would be possible to replace the "new" links automatically without broking the old links even if the old ones aren't manually edited yet.
I might write here (or on meta?) a bit more about this when I have a bit more time.
You may wish to look into the Lectures on Classical W-Algebras by L.A. Dickey. Also, there are older lecture notes by C.N. Pope (intended for the physicists, I guess) and another introductory text by G.M.T. Watts.
