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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
References:
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.
Funding agency Grant number
Russian Science Foundation 22-21-00257
Received: 05.03.2023
Document Type: Article
Language: Russian
Citation: E. Yu. Voronetskii, “A presentation of relative unitary Steinberg groups”, Algebra i Analiz, 35:6 (2023), 45–86
Citation in format AMSBIB
\Bibitem{Vor23}
\by E.~Yu.~Voronetskii
\paper A presentation of relative unitary Steinberg groups
\jour Algebra i Analiz
\yr 2023
\vol 35
\issue 6
\pages 45--86
\mathnet{http://mi.mathnet.ru/aa1891}
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  • https://www.mathnet.ru/eng/aa1891
  • https://www.mathnet.ru/eng/aa/v35/i6/p45
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    Алгебра и анализ St. Petersburg Mathematical Journal
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