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October 1, 2025Deleted Journal

Whittaker Modules for Takiff Algebra of Type B2

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Authors

NQNing QiaoXHXiao He

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Overview

This analysis reveals the classification of simple whittaker modules in type B2 lie algebras, highlighting their dependence on whittaker functions and casimir elements.

Key Points

  • The construction of whittaker modules for truncated current lie algebra demonstrates classifications under specific conditions.
  • Existence of non-trivial whittaker vectors is related to both the whittaker function and casimir elements.
  • Expressions for non-trivial whittaker vectors are provided for singular whittaker functions.
  • Simple whittaker modules can emerge even with singular whittaker functions, indicating rich structures.

Cite This Study

Qiao et al. (2025) studied this question.

synapsesocial.com/papers/68dd89d7fe798ba2fc497aefhttps://doi.org/10.1007/s11464-024-0200-8
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Also Consider

Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Whittaker vectors in singular Whittaker modules2024
  2. 2Whittaker modules for generalized Weyl algebras2009 · 83 citations