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August 3, 2026Journal of the Institute of Mathematics of JussieuOpen Access

Symplectic Determinant Laws and Invariant Theory

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Authors

MMMohamed MoakherJQJulian Quast

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Overview

Theoretical exploration of symplectic determinant laws, investigating pseudorepresentations, and outcomes in algebra involving involution.

Key Points

  • To introduce and define symplectic determinant laws and evaluate their properties as pseudorepresentations.
  • Introduce the concept of symplectic determinant laws based on Chenevier's definition.
  • Compare the defined laws with V. Lafforgue's pseudocharacters for symplectic representations.
  • Compute generators of invariant algebras related to symplectic groups.
  • Establish that symplectic determinant laws fulfill required properties of pseudorepresentation theory.
  • Find that these laws bear conceptual relation to existing theories in symplectic representations.
  • Generate specific invariant algebras linked to symplectic groups and their representations.

Cite This Study

Moakher et al. (2026) studied this question.

synapsesocial.com/papers/6a703fe175942ff7265e485ehttps://doi.org/10.1017/s1474748026101881
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