L. Renner

activity

20062009

most citedBruhat-Chevalley order on the rook monoid

4 citations · 6 across the 8 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

math.NT2008

The Other Group of as Galois Extension

Lex E. Renner

Let $k \subseteq K$ be a finite Galois extension of fields with Galois group $G$ . Let $G$ be the automorphism $k$ -group scheme of $K$ . We construct a canonical $k$ -subgrou…

math.CO2008★ 4 cited

Bruhat-Chevalley order on the rook monoid

Mahir Bilen Can, Lex E. Renner

The rook monoid $R_{n}$ is the finite monoid whose elements are the 0-1 matrices with at most one nonzero entry in each row and column. The group of invertible elements of $R_{n}$ is i…

math.AG2008

Descent Systems for Bruhat Posets

Lex E. Renner

Let $(W, S)$ be a finite Weyl group and let $w \in W$ . It is widely appreciated that the descent set D(w)=\{s\in S | l(ws)<l(w)\} determines a very large and important chapter in the…