J. Segar

activity

19962026

most citedIntertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations

27 citations · 120 across the 16 of their papers we have counts for

collaborators

17 papers

math.RT2026

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 $Γ$ . The underlying vector space and defining relations of the algebra are graded by $Γ$ , and a…

math-ph2024★ 3 cited

Affine extensions of $Z_{2}^{2}$ -graded $os p (1∣2)$ and Virasoro algebra

N. Aizawa, J. Segar

It is known that there are two inequivalent $Z_{2}^{2}$ -graded $os p (1∣2)$ Lie superalgebras. Their affine extensions are investigated and it is shown that one of them admits t…

math-ph2023

The $os p (1∣2)$ \Z2 graded algebra and its irreducible representations

Fahad Sameer Alshammari, Md Fazlul Hoque, Jambulingam Segar

In this paper, we construct finite dimensional irreducible representations for two different versions of \Z2 graded $os p (1∣2)$ algebra based on eight- and ten-generators. We find t…

math-ph2019★ 10 cited

$Z_{2} \times Z_{2}$ 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 $Z_{2} \times Z_{2}$ -graded color superalgebras of infinite dimension. It is done by realizing each member of the class in the universal…

math-ph2018★ 12 cited

$Z_{2} \times Z_{2}$ generalizations of $N = 1$ superconformal Galilei algebras and their representations

N. Aizawa, P. S. Isaac, J. Segar

We introduce two classes of novel color superalgebras of $Z_{2} \times Z_{2}$ grading. This is done by realizing members of each in the universal enveloping algebra…

math-ph2017★ 19 cited

$Z_{2} \times Z_{2}$ generalizations of $N = 2$ super Schrödinger algebras and their representations

N. Aizawa, J. Segar

We generalize the real and chiral $N = 2$ super Schrödinger algebras to $Z_{2} \times Z_{2}$ -graded Lie superalgebras. This is done by $D$ -module presentati…

Graded Casimir Elements and Central Extensions of Color Lie Algebras

Affine extensions of Z22​-graded osp(1∣2) and Virasoro algebra

The osp(1∣2) \Z2 graded algebra and its irreducible representations

Z2​×Z2​ generalizations of infinite dimensional Lie superalgebra of conformal type with complete classification of central extensions

Z2​×Z2​ generalizations of N=1 superconformal Galilei algebras and their representations

Z2​×Z2​ generalizations of N=2 super Schrödinger algebras and their representations

Affine extensions of $Z_{2}^{2}$ -graded $os p (1∣2)$ and Virasoro algebra

The $os p (1∣2)$ \Z2 graded algebra and its irreducible representations

$Z_{2} \times Z_{2}$ generalizations of infinite dimensional Lie superalgebra of conformal type with complete classification of central extensions

$Z_{2} \times Z_{2}$ generalizations of $N = 1$ superconformal Galilei algebras and their representations

$Z_{2} \times Z_{2}$ generalizations of $N = 2$ super Schrödinger algebras and their representations