What type of study is this?

synapse

⌘+K

synapse

⌘+K

September 10, 2025

Whittaker modules of the affine Kac–Moody algebra G2(1) and the W-algebra W(gL)

Key Points

The study classifies simple nondegenerate whittaker modules for the affine Kac–Moody algebra G2(1).
Key relationships discovered include the link between w-algebras and nondegenerate modules at critical levels.
The findings reveal important interactions between whittaker modules and critical structures in the Langlands dual framework.
These classifications may enhance understanding of affine algebras and their representations in mathematical physics.

Abstract

In this paper, we classify the simple nondegenerate Whittaker modules for the affine Kac–Moody Lie algebra of type G2(1). Then we handle the classification of Whittaker modules in the critical level, according to which, we discover the relationship between the W-algebra W(gL) associated with the Langlands dual algebra gL and nondegenerate Whittaker modules for ĝ of type G2(1).

Mark Helpful

Bookmark

Relay

Cite This Study

Ge et al. (Mon,) studied this question.

synapsesocial.com/papers/68c189e09b7b07f3a061387d https://doi.org/https://doi.org/10.1063/5.0250229

Mark Helpful

Bookmark

Relay