Character theory at a torsion element

Santosh Nadimpalli; Santosha Pattanayak; Dipendra Prasad

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arXiv · 2504.14684

Character theory at a torsion element

Santosh Nadimpalli·Santosha Pattanayak·Dipendra Prasad

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Abstract

The paper relates character value of an irreducible representation of a compact connected Lie group at certain elements of finite order with the dimension of a representation on another group, up to some precise constants, which all have significance. An important input is to analyse torsion elements of order d in an adjoint group with minimal dimensional centraliser, and to prove that in most cases when d divides the Coxeter number of G, this gives rise to a unique conjugacy class.

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BibTeX RIS

Santosh Nadimpalli, Santosha Pattanayak, Dipendra Prasad. 2025-04-20. Character theory at a torsion element. https://arxiv.org/abs/2504.14684

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