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Results tagged with clifford-algebras
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user 484575
1
vote
Clifford algebra non-zero
$
\newcommand\Ext{\mathop{\textstyle\bigwedge}}
\newcommand\Cl{\mathrm{Cl}}
\newcommand\gtensor{\mathbin{\hat\otimes}}
\newcommand\gen[1]{\langle#1\rangle}
\newcommand\K{\mathbb K}
$Let $V$ be a vecto …
1
vote
Efficient computation of scalar part in Clifford algebra
$
\newcommand\R{\mathbb R}
\newcommand\inv{^{-1}}
\newcommand\grade[1]{\langle#1\rangle}
\newcommand\rev\widetilde
\newcommand\conj[1]{#1^*}
\DeclareMathOperator\Re{Re}
\DeclareMathOperator\Spin{Spin} …
2
votes
Dual Clifford module
$
\newcommand\Cl{\mathrm{Cl}
\newcommand\tr{\mathop{\mathrm{tr}}}}
\newcommand\Ext{{\textstyle\bigwedge}}
\newcommand\form[1]{\langle#1\rangle}
\newcommand\Hom{\mathop{\mathrm{Hom}}}
\newcommand\rev[1 …
4
votes
The inner product of a Clifford Algebra
$
\newcommand\lcontr{\,\lrcorner\,}
\newcommand\rcontr{\,\llcorner\,}
\newcommand\lcontrr{{\rfloor}}
\newcommand\rcontrr{{\lfloor}}
\newcommand\form[1]{\langle#1\rangle}
\newcommand\Ext\bigwedge
\newc …
2
votes
Accepted
Equivalent definition of Spin group in terms of automorphisms
$
\newcommand\R{\mathbb R}
\newcommand\Cl{\mathrm{Cl}}
\newcommand\tr{\mathrm{tr}}
\newcommand\form[1]{\langle#1\rangle}
\newcommand\Orthog{\mathrm O}
\newcommand\Pin{\mathrm{Pin}}
\newcommand\Spin{\m …