
TL;DR
This paper develops an algebraic framework for studying specific representations of a free associative algebra, focusing on their structure and providing numerous examples.
Contribution
It introduces a new algebraic theory for representations with particular tensor product properties and constructs many explicit examples.
Findings
Established a classification of such representations
Developed methods to construct explicit examples
Provided insights into the structure of these algebraic objects
Abstract
We study representations of a free associative algebra in a vector space with the property where acts by zero on and the tensor product of representations corresponds to the natural homomorphism . We develop an algebraic theory of such objects and construct a lot of examples.
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Taxonomy
TopicsSemiconductor Lasers and Optical Devices · Photonic and Optical Devices · Advanced MEMS and NEMS Technologies
