A. Paolini

activity

20132019

most citedSuperB Technical Design Report

12 citations · 15 across the 7 of their papers we have counts for

collaborators

8 papers

math.RT2019

On the characters of Sylow $p$ -subgroups of finite Chevalley groups $G (p^{f})$ for arbitrary primes

Tung Le, Kay Magaard, Alessandro Paolini

We develop in this work a method to parametrize the set $Irr (U)$ of irreducible characters of a Sylow $p$ -subgroup $U$ of a finite Chevalley group $G (p^{f})$ which is valid…

math.GR2018

On refined Bruhat decompositions and endomorphism algebras of Gelfand-Graev representations

Alessandro Paolini, Iulian I. Simion

Let $G$ be a finite reductive group defined over $F_{q}$ , with $q$ a power of a prime $p$ . Motivated by a problem recently posed by C. Curtis, we first develop an algorithm…

math.RT2017★ 1 cited

The irreducible characters of the Sylow $p$ -subgroups of the Chevalley groups $D_{6} (p^{f})$ and $E_{6} (p^{f})$

Tung Le, Kay Magaard, Alessandro Paolini

We parametrize the set of irreducible characters of the Sylow $p$ -subgroups of the Chevalley groups $D_{6} (q)$ and $E_{6} (q)$ , for an arbitrary power $q$ of any prime…

math.RT2017

On the decomposition numbers of $SO_{8}^{+} (2^{f})$

Alessandro Paolini

Let $q = 2^{f}$ , and let $G = SO_{8}^{+} (q)$ and $U$ be a Sylow $2$ -subgroup of $G$ . We first describe the fusion of the conjugacy classes of $U$ in $G$ . We then use this informatio…

math.RT2017

On the character degrees of a Sylow $p$ -subgroup of a finite Chevalley group $G (p^{f})$ over a bad prime

Tung Le, Kay Magaard, Alessandro Paolini

Let $q$ be a power of a prime $p$ and let $U (q)$ be a Sylow $p$ -subgroup of a finite Chevalley group $G (q)$ defined over the field with $q$ elements. We first give a parametrizatio…

math.RT2017★ 2 cited

The block graph of a finite group

Julian Brough, Yanjun Liu, Alessandro Paolini

This paper studies intersections of principal blocks of a finite group with respect to different primes. We first define the block graph of a finite group $G$ , whose vertices are t…

On the characters of Sylow p-subgroups of finite Chevalley groups G(pf) for arbitrary primes

On refined Bruhat decompositions and endomorphism algebras of Gelfand-Graev representations

The irreducible characters of the Sylow p-subgroups of the Chevalley groups D6​(pf) and E6​(pf)

On the decomposition numbers of SO8+​(2f)

On the character degrees of a Sylow p-subgroup of a finite Chevalley group G(pf) over a bad prime

The block graph of a finite group

On the characters of Sylow $p$ -subgroups of finite Chevalley groups $G (p^{f})$ for arbitrary primes

The irreducible characters of the Sylow $p$ -subgroups of the Chevalley groups $D_{6} (p^{f})$ and $E_{6} (p^{f})$

On the decomposition numbers of $SO_{8}^{+} (2^{f})$

On the character degrees of a Sylow $p$ -subgroup of a finite Chevalley group $G (p^{f})$ over a bad prime