Year: 2026
Type: preprint
Abstract: We develop refinements of inner products, the Gram-Schmidt process, root system, Hilbert space and Maschke's Theorem in the context of zero divisor mathematics. We then introduce the concept of respecting nilpotent step representations of Lie algebras and give the new refinement of Ado's Theorem.
Source: arXiv (Cornell University)
Author: Liu, Keqin
Institution: University of British Columbia
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7170081922
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