P. Polo

activity

19992026

most citedBernstein-Gelfand-Gelfand complexes and cohomology of nilpotent groups over

Z_{p}

for representations with p-small weights

20 citations · 24 across the 6 of their papers we have counts for

collaborators

6 papers

math.RT2026

On some components of $L (ρ) \otimes L (ρ)$ associated with rooted trees for symmetrizable Kac-Moody algebras

Rekha Biswal, Patrick Polo

Let $g$ be a symmetrizable Kac-Moody algebra over $C$ and let $L (ρ)$ be the irreducible integrable $g$ -module with highest weight $ρ$ . Let $I$ be a s…

math.RT2025

Classification of the root systems $R (m)$

Patrick Polo

Let $R$ be a reduced irreducible root system, $h$ its Coxeter number and $m$ a positive integer smaller than $h$ . Choose of base of $R$ , whence a corresponding height function, and…

math.RT2019★ 3 cited

On the cohomology of line bundles over certain flag schemes II

Linyuan Liu, Patrick Polo

Over a field $K$ of characteristic $p$ , let $Z$ be the incidence variety in $P^{d} \times (P^{d})^{*}$ and let $L$ be the restriction to $Z$ of the line bundl…

math.AT2003

Arrangements associated to chordal graphs and limits of colored braid groups

Frederic Chapoton, Patrick Polo

Let G be a chordal graph, X(G) the complement of the associated complex arrangement and Gamma(G) the fundamental group of X(G). We show that Gamma(G) is a limit of colored braid gr…

math.RT2000★ 20 cited

Bernstein-Gelfand-Gelfand complexes and cohomology of nilpotent groups over $Z_{p}$ for representations with p-small weights

P. Polo, J. Tilouine

We show that for $p$ small highest weight $λ$ , 1) there is a $Z_{p}$ -integral version of the Bernstein-Gelfand-Gelfand complex, still a direct summand subcomplex of the standard comp…

math.AG1999★ 1 cited

Large Schubert varieties

Michel Brion, Patrick Polo

For a semisimple adjoint algebraic group $G$ and a Borel subgroup $B$ , consider the double classes $B w B$ in $G$ and their closures in the canonical compactification of $G$ : we call…

On some components of L(ρ)⊗L(ρ) associated with rooted trees for symmetrizable Kac-Moody algebras

Classification of the root systems R(m)