# Tag Info

## New answers tagged weyl-group

3 votes

### Particular reduced expression of the longest element of Weyl group

As I mentioned in a comment, this is a special case of finding a distinguished representative for a coset of a parabolic subgroup. Let's inductively define elements $w_n$, with the convenient ...
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5 votes
Accepted

### Particular reduced expression of the longest element of Weyl group

Whenever $\ell(wv)=\ell(w)+\ell(v)$, you can construct a reduced word for $wv$ by producing one for $w$ and one for $v$ and then concatenating them. So, if you know an algorithm for producing reduced ...
• 41.8k
9 votes
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### Invariants of cohomology of Springer sheaf

You want to look at the partial Grothendieck-Springer resolution, i.e. the variety of pairs $(g \in G/ P_\mu, v \in g \mathfrak p_\mu g^{-1})$. The partial Grothendieck-Springer resolution is smooth, ...
• 119k

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