Steinberg lattice of the general linear group and its modular reduction
Fernando Szechtman
TL;DR
This paper investigates the properties of the Steinberg lattice associated with the general linear group when it is reduced modulo a prime that differs from the group's defining characteristic.
Contribution
It provides new insights into the structure and behavior of the Steinberg lattice under modular reduction for primes distinct from the characteristic.
Findings
Characterization of the modular reduction of the Steinberg lattice
Identification of structural changes in the lattice after reduction
Implications for representation theory of general linear groups
Abstract
We study the Steinberg lattice of the general linear group when reduced modulo a prime different from the defining characteristic.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Advanced Topology and Set Theory