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A classification of lowest weight irreducible modules over Z22-graded extension of <i>osp</i>(1|2) - MaRDI portal

A classification of lowest weight irreducible modules over Z22-graded extension of <i>osp</i>(1|2) (Q3388201)

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English	A classification of lowest weight irreducible modules over Z22-graded extension of <i>osp</i>(1\|2)	scientific article

Statements

scholarly article

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A classification of lowest weight irreducible modules over Z22-graded extension of <i>osp</i>(1|2) (English)

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Naruhiko Aizawa

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Journal of Mathematical Physics

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publication date

4 May 2021

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full work available at URL

https://arxiv.org/abs/2011.03714

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MaRDI profile type

MaRDI publication profile

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Supersymmetric Mechanics in Superspace

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Superconformal mechanics

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Z 2 n -graded extensions of supersymmetric quantum mechanics via Clifford algebras

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Sequences of <i>Z</i>2⊗<i>Z</i>2 graded Lie algebras and superalgebras

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Generalized Lie Elements

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Generalized Lie algebras

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Graded tensor calculus

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de Sitter supergravity with positive cosmological constant and generalised Lie superalgebras

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Generalized quasispin for supergroups

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\(Z^3_n\)-graded colored supersymmetry

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(<i>I</i>,<i>q</i>)-graded Lie algebraic extensions of the Poincaré algebra, constraints on <i>I</i> and <i>q</i>

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Trefoil symmetries I. Clover extensions beyond Coleman–Mandula theorem

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Super-de Sitter and Alternative Super-Poincaré Symmetries

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$\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations

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Generalized supersymmetry and the Lévy-Leblond equation

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On a \(\mathbb Z_2^n\)-graded version of supersymmetry

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Double-graded supersymmetric quantum mechanics

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The quasi-nonassociative exceptional <i>F</i>(4) deformed quantum oscillator

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${\mathbb{Z}}_{2}{\times}{\mathbb{Z}}_{2}$-graded supersymmetry: 2-d sigma models

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Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians

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Representations and cocycle twists of color Lie algebras

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Bosonic Realizations of the Colour Heisenberg Lie Algebra

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The Gelfand–Naimark–Segal construction for unitary representations of $\mathbb Z_2^n$-graded Lie supergroups

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

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Z 2 × Z 2 generalizations of N=1 superconformal Galilei algebras and their representations

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The $ \newcommand{\Z}{{{\mathbb Z}}} \Z_2\times\Z_2$ -graded Lie superalgebra $ \newcommand{\pso}{\mathfrak{pso}} \pso(2m+1\vert 2n)$ and new parastatistics representations

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The Kostant invariant and special \(\varepsilon\)-orthogonal representations for \(\varepsilon\)-quadratic colour Lie algebras

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Casimir elements of ε Lie algebras

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Cohomology of Lie superalgebras and their generalizations

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Cohomology of 3-dimensional color Lie algebras

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Color Lie algebras and Lie algebras of order \(F\)

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Generalization of superalgebras to color superalgebras and their representations

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Cubic Dirac operators and the strange Freudenthal-de Vries formula for colour Lie algebras

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The Z2×Z2-graded general linear Lie superalgebra

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\(\mathbb{Z}_2\times\mathbb{Z}_2\)-generalizations of infinite-dimensional Lie superalgebra of conformal type with complete classification of central extensions

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Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds

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The category of Z2n-supermanifolds

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Towards integration on colored supermanifolds

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The graded differential geometry of mixed symmetry tensors

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Double-graded quantum superplane

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Functional analytic issues in $\mathbb{Z}_2^n$-Geometry

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The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds

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Odd connections on supermanifolds: existence and relation with affine connections

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Local forms of morphisms of colored supermanifolds

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GENERIC IRREDUCIBLE REPRESENTATIONS OF FINITE-DIMENSIONAL LIE SUPERALGEBRAS

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Integrable representations of \(U_q(\text{osp}(1,2n))\)

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Basic hypergeometric functions and covariant spaces for even-dimensional representations of<b><i>U<sub>q</sub>[<i>osp</i>(1/2)]</i></b>

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Identifiers

zbMATH Open document ID

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10.1063/5.0037493

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3388201

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