53 citations · 366 across the 24 of their papers we have counts for
24 papers
Graded Casimir Elements and Central Extensions of Color Lie Algebras
Naruhiko Aizawa, Ichi Fujii, Jambulingam Segar +1
A color Lie algebra is a generalization of a Lie (super)algebra by an Abelian group . The underlying vector space and defining relations of the algebra are graded by , and a…
Integration on minimal -superspace and emergence of space
N. Aizawa, Ren Ito
We investigate the possibilities of integration on the minimal -superspace. Two definitions are taken from the works by Poncin and Schouten and we examine their gen…
-graded mechanics: the quantization
N. Aizawa, Z. Kuznetsova, F. Toppan
In the previous paper arXiv:2003.06470 we introduced the notion of -graded classical mechanics and presented a general framework to construct, in…
-graded mechanics: the classical theory
N. Aizawa, Z. Kuznetsova, F. Toppan
-graded mechanics admits four types of particles: ordinary bosons, two classes of fermions (fermions belonging to different classes commute among…
-Graded extensions of supersymmetric quantum mechanics via Clifford algebras
N. Aizawa, K. Amakawa, S. Doi
It is shown that the supersymmetric quantum mechanics (SQM) can be extended to a -graded superalgebra. This is done by presenting quantum mechanical mo…
-Extension of duble-graded supersymmetric and superconformal quantum mechanics
N. Aizawa, K. Amakawa, S. Doi
In the recent paper, Bruce and Duplij introduced a double-graded version of supersymmetric quantum mechanics (SQM). It is an extension of Lie superalgebraic nature of …