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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

4 votes
1 answer
296 views

Maurer-Cartan elements of the extension of an $L_{\infty}$-algebra

Let $g$ be a nilpotent $L_{\infty}$-algebra. For every commutative differential graded algebra $A$, one can form the extension $g\otimes A$ and endow it with a nilpotent $L_{\infty}$-algebra structure …
Sinan Yalin's user avatar
  • 1,609
8 votes
Accepted

Extended Deformation Theory (dg-Lie algebra principle in positive characteristic?)

More precisely, the "Deligne principle" of deformation theory (but actually one could add a lot of other names) is that every deformation problem corresponds to a deformation functor, which in turn is …
Sinan Yalin's user avatar
  • 1,609