双曲型Clifford代数的多向量
The Hyperbolic Clifford Algebra of Multivecfors
摘要：
本文对与双曲空间自然相关的多向量双曲Clifford代数作了深入的阐述，双曲空间的元素称为向量。给出了向量和多向量的几何解释。引入了Poincare自同构（Hodge对偶算子），并导出了几个有用的公式.讨论了双曲Clifford代数中一个特殊理想的作用，该理想的元素是旋量的代表，恢复了Witten超场的代数性质。
英文摘要：
In this paper we give a thoughtful exposition of the hyperbolic Clifford algebra of multivecfors which is naturally associated with a hyperbolic space, whose elements are called vecfors. Geometrical interpretation of vecfors and multivecfors are given. Poincare automorphism (Hodge dual operator) is introduced and several useful formulas derived. The role of a particular ideal in the hyperbolic Clifford algebra whose elements are representatives of spinors and resume the algebraic properties of Witten superfields is discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
