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October 20, 2025Open Access

Whittaker modules over the loop Virasoro algebra

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The study identifies necessary conditions for Whittaker modules over the loop Witt algebra to be simple, enhancing understanding of module theory.
Essential irreducibility criteria are determined for Whittaker modules over the loop Virasoro algebra, with applications to affine Lie algebras.
A family of Whittaker modules is analyzed, revealing insights into their structure and irreducible components for advanced algebraic research.
The findings provide critical criteria for universal Whittaker modules of the affine Lie algebra, paving the way for future studies.

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This paper examines irreducibility criteria and conditions for Whittaker modules over key algebras, suggesting significant criteria for simple representations.

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Li et al. (2025) studied this question.

synapsesocial.com/papers/68f5fcce8d54a28a75cf1c7c https://doi.org/10.48550/arxiv.2509.24574

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Implication

This paper examines irreducibility criteria and conditions for Whittaker modules over key algebras, suggesting significant criteria for simple representations.

Whittaker modules over the loop Virasoro algebra

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Implication

Cite This Study

Whittaker modules over the loop Virasoro algebra

Key Points

Discussion

Implication

Cite This Study

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