Function Theory in Exotic Clifford Algebras and its
Applications

Nguyen Thi Huyen; Doan Thanh Son

doi:https://doi.org/10.14445/22315373/IJMTT-V67I4P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 4 | Year 2021 | Article Id. IJMTT-V67I4P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I4P508

Function Theory in Exotic Clifford Algebras and its Applications

Nguyen Thi Huyen, Doan Thanh Son

Abstract

In this paper, we will introduce Exotic Clifford algebras, whose structure relations are e2j+ej+αj = 0 and eiej+ejei+ei+ej =0. From this structure, we will present Cauchy integral formula. Moreover, boundary value problems for regular functions taking value in Exotic Clifford algebras can be solved in some low-dimensional cases.

Keywords

Exotic Clifford Algebras

References

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Citation :

Nguyen Thi Huyen, Doan Thanh Son, "Function Theory in Exotic Clifford Algebras and its Applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 4, pp. 51-61, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I4P508