25 citations · 73 across the 10 of their papers we have counts for
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-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics
Shunya Doi, Naruhiko Aizawa
Quantum mechanical systems whose symmetry is given by -graded version of superconformal algebra are introduced. This is done by finding a realization of a $\mathbb{…
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…
generalizations of infinite dimensional Lie superalgebra of conformal type with complete classification of central extensions
N. Aizawa, P. S. Isaac, J. Segar
We introduce a class of novel -graded color superalgebras of infinite dimension. It is done by realizing each member of the class in the universal…
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…
generalizations of superconformal Galilei algebras and their representations
N. Aizawa, P. S. Isaac, J. Segar
We introduce two classes of novel color superalgebras of grading. This is done by realizing members of each in the universal enveloping algebra…
generalizations of super Schrödinger algebras and their representations
N. Aizawa, J. Segar
We generalize the real and chiral super Schrödinger algebras to -graded Lie superalgebras. This is done by -module presentati…