Degenerations of noncommutative Heisenberg algebras
Ivan Kaygorodov, Yury Volkov
TL;DR
This paper classifies all possible degenerations of five-dimensional noncommutative Heisenberg algebras over complex numbers, providing a comprehensive understanding of their structural variations and related algebraic degenerations.
Contribution
It offers the complete description of degenerations for five-dimensional noncommutative Heisenberg algebras, extending to four-dimensional anticommutative 3-ary algebras.
Findings
Full classification of degenerations of 5D noncommutative Heisenberg algebras
Complete description of degenerations of 4D anticommutative 3-ary algebras
Establishment of a framework for understanding algebra degenerations
Abstract
We give the full description of all degenerations of complex five dimensional noncommutative Heisenberg algebras. As a corollary, we have the full description of all degenerations of four dimensional anticommutative -ary algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms