The Module Decomposition of Super-Symmetric Powers of Matrices

DOI10.1081/AGB-200066159zbMath1075.05087MaRDI QIDQ5704512

Tamar Seeman

Publication date: 15 November 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

Lie superalgebrasYoung tableuxsymmetric and exterior powers

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Lie algebras of vector fields and related (super) algebras (17B66)

Cites Work

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• Hook flag characters and their combinatorics
• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Shuffles of permutations and the Kronecker product
• On the Kronecker product of \(S_n\) characters
• On a class of algebras defined by partitions.
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Sur la topologie de certains espaces homogenes
• Hook interpolations.
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Gordan—Capelli series in superalgebras

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