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Mikko Tapani Korhonen

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Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

Mikko Tapani Korhonen

Let

G

be a classical group with natural module

V

over an algebraically closed field of good characteristic. For every unipotent element

u

G

, we describe the Jordan block sizes of

u

on the irreducible

G

-modules which occur as compositio ...

2019

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Mikko Tapani Korhonen

Let

G

be a simple linear algebraic group over an algebraically closed field

K

of characteristic

p \geq 0

. In this thesis, we investigate closed connected reductive subgroups

X < G

that contain a given distinguished unipotent element

u

G

. Our ...

EPFL2018

Mikko Tapani Korhonen

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Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Invariant forms on irreducible modules of simple algebraic groups

Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

Reductive overgroups of distinguished unipotent elements in simple algebraic groups

Invariant forms on irreducible modules of simple algebraic groups