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Quantum queer superalgebra and its integral form
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Paper
Quantum queer superalgebra and its integral form
2025
Overview
In this paper, we introduce quantum root vectors for the quantum queer superalgebra \\( U_\\!v( q_n)\\) via a braid-group action, compute their complete commutation relations, and construct a PBW-type basis for the Lusztig integral form \\( U_v, Z\\). This yields an explicit presentation of \\( U_v, Z\\) and provides a way to understand the structure of the quantum queer superalgebra at roots of unity.
Publisher
Cornell University Library, arXiv.org
Subject
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