Function Theory in Exotic Clifford Algebras and its Applications

International Journal of Mathematics Trends and Technology (IJMTT)
© 2021 by IJMTT Journal
Volume-67 Issue-4
Year of Publication : 2021
Authors : Nguyen Thi Huyen, Doan Thanh Son


MLA Style: Nguyen Thi Huyen, Doan Thanh Son "Function Theory in Exotic Clifford Algebras and its Applications" International Journal of Mathematics Trends and Technology 67.4 (2021):51-61. 

APA Style: Nguyen Thi Huyen, Doan Thanh Son(2021). Function Theory in Exotic Clifford Algebras and its Applications International Journal of Mathematics Trends and Technology, 51-61.

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.


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Keywords : Exotic Clifford Algebras