Scholarlink

<p>For a central simple algebra with a symplectic involution <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((A,\sigma )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>A</mi> <mo>,</mo> <mi>σ</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> over a field of characteristic different from 2, we show that its group of projective similitudes <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\textbf{PSim}(A,\sigma )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="bold">PSim</mi> <mo stretchy="false">(</mo> <mi>A</mi> <mo>,</mo> <mi>σ</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> is <i>R</i>-trivial in two new cases.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

R-triviality for adjoint classical groups of type C

  • 期刊论文

  • 发表日期：

    2026年5月28日

查看全文
  • M. Archita

摘要

For a central simple algebra with a symplectic involution \((A,\sigma )\) ( A , σ ) over a field of characteristic different from 2, we show that its group of projective similitudes \(\textbf{PSim}(A,\sigma )\) PSim ( A , σ ) is R-trivial in two new cases.