On the construction of \(\mathbb{Z}^n_2\)-Grassmannians as homogeneous \(\mathbb{Z}^n_2\)-spaces

DOI10.3934/era.2022012zbMath1493.14087OpenAlexW4206225293MaRDI QIDQ2127484

Saad Varsaie, Mohammad Mohammadi

Publication date: 20 April 2022

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2022012

zbMATH Keywords

\(\mathbb{Z}^n_2\)-Grassmannian\(\mathbb{Z}^n_2\)-Lie group\(\mathbb{Z}^n_2\)-manifold

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Supervarieties (14M30) Supermanifolds and graded manifolds (58A50)

Related Items (2)

Irreducible representations of Z22-graded N=2 supersymmetry algebra and Z22-graded supermechanics ⋮ Integration on minimal Z22 -superspace and emergence of space

Cites Work

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• Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds
• Higher trace and Berezinian of matrices over a Clifford algebra
• A new kind of graded Lie algebra and parastatistical supersymmetry
• A class of homogeneous superspaces associated to odd involutions
• Local forms of morphisms of colored supermanifolds
• Mathematical foundations of supersymmetry
• The category of Z2n-supermanifolds
• Super G-spaces
• Quotients in supergeometry
• The Minkowski and conformal superspaces
• Remarks on Grassmannian Supermanifolds
• On the construction of supergrassmannians as homogeneous superspaces
• Functional analytic issues in $\mathbb{Z}_2^n$-Geometry
• Products in the category of 𝕑2n-manifolds

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