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kpoin
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There are 5 letters in KPOIN ( I1K5N1O1P3 )
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Kpoin might refer to |
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In physics and mathematics, the κ-Poincaré group, named after Henri Poincaré, is a quantum group, obtained by deformation of the Poincaré group into an Hopf algebra. * It is generated by the elements * * * * * a * * μ * * * * * {\displaystyle a^{\mu }} * and * * * * * * * Λ * * μ * * * * * ν * * * * * {\displaystyle {\Lambda ^{\mu }}_{\nu }} * with the usual constraint:* * * * * η * * ρ * σ * * * * * * Λ * * μ * * * * * ρ * * * * * * Λ * * ν * * * * * σ * * * = * * η * * μ * ν * * * * , * * * {\displaystyle \eta ^{\rho \sigma }{\Lambda ^{\mu }}_{\rho }{\Lambda ^{\nu }}_{\sigma }=\eta ^{\mu \nu }~,} * where * * * * * η * * μ * ν * * * * * {\displaystyle \eta ^{\mu \nu }} * is the Minkowskian metric: * * * * * * η * * μ * ν * * * = * * ( * * * * * − * 1 * * * 0 * * * 0 * * * 0 * * * * * 0 * * * 1 * * * 0 * * * 0 * * * * * 0 * * * 0 * * * 1 * * * 0 * * * * * 0 * * * 0 * * * 0 * * * 1 * * * * * ) * * * . * * * {\displaystyle \eta ^{\mu \nu }=\left({\begin{array}{cccc}-1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}}\right)~.} * The commutation rules reads: * * * * * [ * * a * * j * * * , * * a * * ... |