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Matrix representations of linear transformations on bicomplex space

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arxiv 2312.00361 v1 pith:XD7KMWIN submitted 2023-12-01 math.RT math.CV

Anjali , Fahed Zulfeqarr , Akhil Prakash , Prabhat Kumar This is my paper · ORCID
classification math.RTmath.CV
keywords linearmapsbicomplexdiscussedmatrixproductspacealgebraic
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An algebraic investigation on bicomplex numbers is carried out here. Particularly matrices and linear maps defined on them are discussed. A new kind of cartesian product, referred to as an idempotent product, is introduced and studied. The elements of this space are linear maps of a special form. These linear maps are examined with respect to usual notions like kernel, range, and singularity. Their matrix representation is also discussed.

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