Homotopy Type Theory
geometric algebra > history (Rev #5, changes)
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Defintion
Given a commutative ring , a geometric -algebra - is ageometric algebrafiltered $R$-algebra is agraded $R$-module and with an a$R$-algebraring isomorphism? with such canonical that ring the homomorphism product of every -vector with an itself is aisomorphism? -vector. and a quadratic form .
Every -geometric algebra is a -Clifford algebra.
The -vectors are called scalars and -vectors are just called vectors
Every geometric -algebra is a -Clifford algebra.
See also
References
- G. Aragón, J.L. Aragón, M.A. Rodríguez (1997), Clifford Algebras and Geometric Algebra, Advances in Applied Clifford Algebras Vol. 7 No. 2, pg 91–102, doi:10.1007/BF03041220, S2CID:120860757
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