The subspace \(L((x_1 \wedge \ldots \wedge x_k)^m)\) of \(S^m (\wedge^k \mathbb{R}^n)\)

DOI10.1007/s10469-010-9098-1zbMath1257.15015OpenAlexW1964968481MaRDI QIDQ694198

Vsevolod Yur'evich Gubarev

Publication date: 11 December 2012

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-010-9098-1

zbMATH Keywords

algorithmLie algebradimensionGrassmann varietyouter power of spacesymmetric power of space

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Exterior algebra, Grassmann algebras (15A75)

Cites Work

• Decomposable subspaces, linear sections of Grassmann varieties, and higher weights of Grassmann codes
• Linear transformations on Grassmann spaces
• Slice-by-slice reconstruction algorithm for vector tomography with incomplete data
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