A "q-deformed" generalization of the Hosszu-Gluskin theorem
Rings and Algebras
2017-01-03 v4 Mathematical Physics
Group Theory
math.MP
Quantum Algebra
Abstract
In this paper a new form of the Hossz\'u-Gluskin theorem is presented in terms of polyadic powers and using the language of diagrams. It is shown that the Hossz\'u-Gluskin chain formula is not unique and can be generalized ("deformed") using a parameter q which takes special integer values. A version of the "q-deformed" analog of the Hossz\'u-Gluskin theorem in the form of an invariance is formulated, and some examples are considered. The "q-deformed" homomorphism theorem is also given.
Cite
@article{arxiv.1309.1134,
title = {A "q-deformed" generalization of the Hosszu-Gluskin theorem},
author = {Steven Duplij},
journal= {arXiv preprint arXiv:1309.1134},
year = {2017}
}
Comments
18 pages, 11 diagrams, in v3: minor changes. arXiv admin note: text overlap with arXiv:1308.4060