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

8 votes
Accepted

Characteristic classes of symmetric group $S_4$

For Q2, my collaborators and I show that all mod-two cohomology of symmetric groups is generated by Stiefel-Whitney classes of standard representations, if you allow both cup product and transfer (ind …
Dev Sinha's user avatar
  • 4,990
7 votes
1 answer
2k views

Tensor products of permutation representations of symmetric groups.

I am looking for a reference for the following fact which must be classical (which makes it harder, for me, to track a reference down). I am interested because there are similar (more complicated) st …
Dev Sinha's user avatar
  • 4,990
6 votes

What is the (Koszul? derived?) interpretation of a pair of Lie algebras with the same cohomo...

You (and "everyone") may already know this, but there is a really simple answer to a variant of your question, that is when instead of starting with a Lie algebra you start with a connected differenti …
Dev Sinha's user avatar
  • 4,990