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Algebra i Analiz, 2023 Volume 35, Issue 6, Pages 45–86 (Mi aa1891)

Research Papers

A presentation of relative unitary Steinberg groups

E. Yu. Voronetskii

Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: We find an explicit presentation of relative odd unitary Steinberg groups constructed by odd form rings and of relative doubly laced Steinberg groups over commutative rings, i.e., the Steinberg groups associated with the Chevalley group schemes of the types $\mathsf B_\ell$, $\mathsf C_\ell$, $\mathsf F_4$ for $\ell \geq 3$. For simply laced root systems such result is already known.

Keywords: odd unitary groups, relative Steinberg groups.

Received: 05.03.2023


 English version:
St. Petersburg Mathematical Journal, 2024, 35:6, 929–957


© Steklov Math. Inst. of RAS, 2025