S. Doi

activity

20182021

collaborators

Showing 2021Show all

2 papers · 1 filter

math.RT2021

Classification of the Reducible Verma Modules over the Jacobi Algebra $G_{2}$

N. Aizawa, V. K. Dobrev, S. Doi

In the present paper we study the representations of the Jacobi algebra. More concretely, we define, analogously to the case of semi-simple Lie algebras, the Verma modules over the…

math-ph2021

$Z_{2}^{3}$ -Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics

Shunya Doi, Naruhiko Aizawa

Quantum mechanical systems whose symmetry is given by $Z_{2}^{3}$ -graded version of superconformal algebra are introduced. This is done by finding a realization of a $\mathbb{…

Classification of the Reducible Verma Modules over the Jacobi Algebra G2​

Z23​-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics

Classification of the Reducible Verma Modules over the Jacobi Algebra $G_{2}$

$Z_{2}^{3}$ -Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics