Tuesday 6 January 2015

Clifford Algebra Note 6 Periodicity / January 26, 2008


Clifford Algebra

Note 6
Periodicity

TANAKA Akio

n-dimensional Euclid space with canonical inner product     Rn
Clifford algebra corresponded with Rn     (Rn)
Complexification of (Rn)     (Rn C
Arbitrary integer     > 0
(Rn+2R   C (Rn+2End ( C)   
(R2nR C    End ( C2n )
(R2n+1R ≃ End ( C2n  End ( C2n )

[Note]
Periodicity in Clifford algebra may be corresponded with periodicity of meaning in word of natural language.
At early work of <Quantum Theory for Language>, especially refer to the next papers’ comments of meaning factors in ancient Chinese inscriptionson bone and tortoiseshell <Jiaguwen>.
On inscription < geng>
On Time Property Inherent in Characters / 1 Generation of Characters / Hakuba March 28, 2003
On inscription <  kun>
Prague Theory / Dedicated to KARCEVSKIJ, PRAGUE and CHINO / 9 Chinese character /kun/ / Tokyo October 2, 2004

Tokyo January 26, 2008
Sekinan Research Field of Language

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