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
	10.14445/22315373/IJMTT-V67I4P508

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.

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.

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Keywords : Exotic Clifford Algebras