Presentations of representations

2025/03/31 by Minahan, Daniel, Putman, Andrew
#FOS: Mathematics #Geometric Topology (math.GT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2504.00224

Abstract

We give a new technique for constructing presentations by generators and relations for representations of groups like SL_n(ℤ) and Sp_2g(ℤ). Our results play an important role in recent work of the authors calculating the second homology group of the Torelli group.

Related

• On the realization of a class of SL(2,ℤ)-representations
• Presentations of finite simple groups: a computational approach
• Generalized presentations of infinite groups, in particular of Aut(F_ω)
• Sl_n-character varieties as spaces of graphs
• Representation Theory of ℤ₂^*n