K. Kozioł

activity

20122024

most citedPedestrian Models based on Rational Behaviour

32 citations · 97 across the 19 of their papers we have counts for

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9 papers · 1 filter

math.RT2022

Derived right adjoints of parabolic induction: an example

Karol Koziol

Suppose $p \geq 5$ is a prime number, and let $G = SL_{2} (Q_{p})$ . We calculate the derived functors $R^{n} R_{B}^{G} (π)$ , where $B$ is a Borel subgroup o…

math.RT2020★ 3 cited

Functorial properties of pro- $p$ -Iwahori cohomology

Karol Koziol

Suppose $F$ is a finite extension of $Q_{p}$ , $G$ is the group of $F$ -points of a connected reductive $F$ -group, and $I_{1}$ is a pro- $p$ -Iwahori subgroup of $G$ . We construct…

math.RT2017

The first pro- $p$ -Iwahori cohomology of mod- $p$ principal series for $p$ -adic $GL_{n}$

Karol Koziol

Let $p \geq 3$ be a prime number and $F$ a $p$ -adic field. Let $I_{1}$ denote the pro- $p$ -Iwahori subgroup of $GL_{n} (F)$ , and $H$ the pro- $p$ -Iwahori--Hecke algebra…

math.RT2017★ 1 cited

Hecke module structure on first and top pro- $p$ -Iwahori cohomology

Karol Koziol

Let $p \geq 5$ be a prime number, $G$ a split connected reductive group defined over a $p$ -adic field, and $I_{1}$ a choice of pro- $p$ -Iwahori subgroup. Let $C$ be an algebraically cl…

math.RT2016

Irreducible admissible mod-p representations of metaplectic groups

Karol Koziol, Laura Peskin

Let $p$ be an odd prime number, and $F$ a nonarchimedean local field of residual characteristic $p$ . We classify the smooth, irreducible, admissible genuine mod- $p$ representations…

math.RT2015

Homological dimension of simple pro-p-Iwahori--Hecke modules

Karol Koziol

Let $G$ be a split connected reductive group defined over a nonarchimedean local field of residual characteristic $p$ , and let $H$ be the pro- $p$ -Iwahori--Hecke algebra a…

math.RT2013

Pro-p-Iwahori invariants for SL_2 and L-packets of Hecke modules

Karol Koziol

Let p be a prime number, and F a nonarchimedean local field of residual characteristic p. We explore the interaction between the pro-p-Iwahori-Hecke algebras of the group GL_n(F) a…

math.RT2012★ 2 cited

A classification of the irreducible mod-p representations of U(1,1)(Q_p^2/Q_p)

Karol Koziol

Let p be a prime number. We classify all smooth irreducible mod-p representations of the unramified unitary group U(1,1)(Q_p^2/Q_p) in two variables. We then investigate Langlands…

math.RT2012★ 1 cited

Hecke modules and supersingular representations of U(2,1)

Karol Koziol, Peng Xu

Let F be a nonarchimedean local field of odd residual characteristic p. We classify finite-dimensional simple right modules for the pro-p-Iwahori-Hecke algebra $\mathcal{H}_C(G,I(1…

Derived right adjoints of parabolic induction: an example

Functorial properties of pro-p-Iwahori cohomology

The first pro-p-Iwahori cohomology of mod-p principal series for p-adic GLn​

Hecke module structure on first and top pro-p-Iwahori cohomology

Irreducible admissible mod-p representations of metaplectic groups

Homological dimension of simple pro-p-Iwahori--Hecke modules

Pro-p-Iwahori invariants for SL_2 and L-packets of Hecke modules

A classification of the irreducible mod-p representations of U(1,1)(Q_p^2/Q_p)

Hecke modules and supersingular representations of U(2,1)

Functorial properties of pro- $p$ -Iwahori cohomology

The first pro- $p$ -Iwahori cohomology of mod- $p$ principal series for $p$ -adic $GL_{n}$

Hecke module structure on first and top pro- $p$ -Iwahori cohomology