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April 22, 2026Journal of Mathematical PhysicsOpen Access

Central elements and evaluation map for the quantum queer superalgebras

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The main aim is to explore the R-matrix presentations of the quantum queer superalgebras and their central elements.
Derived crossing symmetry relations for R-matrices.
Constructed central elements in both Uq(qn) and Uq(q̂n).
Produced an epimorphism relating the two superalgebras.
Central elements were constructed using derived relations.
An epimorphism was established, showing a mapping between the two superalgebras.
The results reveal symmetry properties critical for understanding these algebras.

Implication

This analysis evaluates central elements and R-matrix properties in quantum queer superalgebras, indicating mathematical connections.

Abstract

We consider the R-matrix presentations of the quantum queer superalgebra Uq(qn) and its affine counterpart Uq(q̂n). We derive crossing symmetry relations for the R-matrices and use them to construct central elements in both superalgebras. We also produce an epimorphism ev:Uq(q̂n)→Uq(qn) identical on the subalgebra isomorphic to Uq(qn).

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Cite This Study

Liu et al. (2026) studied this question.

synapsesocial.com/papers/69e866c96e0dea528ddeb2cf https://doi.org/10.1063/5.0322285

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Implication

This analysis evaluates central elements and R-matrix properties in quantum queer superalgebras, indicating mathematical connections.

Central elements and evaluation map for the quantum queer superalgebras

Key Points

Implication

Abstract

Discussion

Cite This Study

Central elements and evaluation map for the quantum queer superalgebras

Key Points

Implication

Abstract

Discussion

Cite This Study

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