12 citations · 12 across the 1 of their papers we have counts for
4 papers
A classification of lowest weight irreducible modules over -graded extension of
K. Amakawa, N. Aizawa
We investigate representations of the -graded extension of which is the spectrum generating algebra of the recently introduced -graded ve…
-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 …
Conformal mechanical treatment of Calogero-Moser model and infinite dimensional Lie algebra of conformal Galilei type
N. Aizawa, K. Amakawa, S. Doi
We present a relationship between the Calogero-Moser particles confined in harmonic oscillator potentials and a representation theory of the infinite dimensional Lie algebra which…