Double-graded quantum superplane
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Publication:2221539
DOI10.1016/S0034-4877(20)30089-6MaRDI QIDQ2221539
Steven Duplij, Andrew James Bruce
Publication date: 2 February 2021
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.12950
Related Items (9)
Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$ ⋮ A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators ⋮ Beyond the 10-fold way: 13 associative \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded superdivision algebras ⋮ \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded mechanics: the quantization ⋮ The Z2×Z2-graded general linear Lie superalgebra ⋮ A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2) ⋮ Classification of minimal Z2×Z2-graded Lie (super)algebras and some applications ⋮ Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians ⋮ Inequivalent quantizations from gradings and Z2×Z2 parabosons
Cites Work
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- Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds
- On graded global dimension of color Hopf algebras.
- Biinvertible actions of Hopf algebras
- Multiparametric quantum deformation of the general linear supergroup
- Non-commutative superspace from string theory
- Differential calculus for \(q\)-deformed twistors
- Generalized differential spaces with \(d^N=0\) and the \(q\)-differential calculus
- Color Lie bialgebras: big bracket, cohomology and deformations
- Remarks on bicovariant differential calculi and exterior Hopf algebras
- Differential calculus on compact matrix pseudogroups (quantum groups)
- The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds
- On a \(\mathbb Z_2^n\)-graded version of supersymmetry
- Mapping spaces and automorphism groups of toric noncommutative spaces
- Algebraic deformations of toric varieties. I: General constructions
- A two-parameter quantum \((2+1)\)-superspace and its deformed derivation algebra as Hopf superalgebra
- Algebra forms with \(d^N=0\) on quantum plane. Generalized Clifford algebra approach.
- Moduli spaces of instantons on toric noncommutative manifolds
- PARAGRASSMANN ANALYSIS AND QUANTUM GROUPS
- Quantum supergroup structure of (1+1)-dimensional quantum superplane, its dual and its differential calculus
- Exterior differentials of higher order and their covariant generalization
- PARA-GRASSMANN EXTENSIONS OF THE VIRASORO ALGEBRA
- Bicovariant differential calculus on the quantum superspace ℝq(1|2)
- Classification of U_q(sl_2)-module algebra structures on the quantum plane
- The category of Z2n-supermanifolds
- Cartan calculi on the quantum superplane
- Generalized Lie algebras
- Quantum group structure on the quantum plane
- Z 2 × Z 2 generalizations of 𝒩=2 super Schrödinger algebras and their representations
- Z 2 × Z 2 generalizations of N=1 superconformal Galilei algebras and their representations
- Differential calculus on the quantum superplane
- Functional analytic issues in $\mathbb{Z}_2^n$-Geometry
- Super-de Sitter and Alternative Super-Poincaré Symmetries
- $\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations
- EXAMPLES OF POINTED COLOR HOPF ALGEBRAS
- Products in the category of 2n-manifolds
- A Generalized Method of Field Quantization
- Covariant differential calculus on the quantum hyperplane
- Representations of Lie colour algebras
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