Plethysmsfor representations of lie superalgebras with applications to P. I algebras

DOI10.1080/03081089408818327zbMath0823.17006OpenAlexW2047325562WikidataQ115298137 ScholiaQ115298137MaRDI QIDQ4322406

Luisa Carini, Vesselin Drensky

Publication date: 31 October 1995

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089408818327

zbMATH Keywords

representationssymmetric functionspolynomial identitiesplethysmsdouble Hilbert series

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Superalgebras (17A70) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items (1)

SUPER RSK-ALGORITHMS AND SUPER PLACTIC MONOID

Cites Work

• Unnamed Item
• Codimensions of T-ideals and Hilbert series of relatively free algebras
• Applications of hook Young diagrams to P.I. algebras
• Identities of the tensor square of a Grassmann algebra
• The Hilbert series of the polynomial identities for the tensor square of the Grassmann algebra
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Diagram and superfield techniques in the classical superalgebras
• On Symmetrized Kronecker Powers and the Structure of the Free Lie Ring

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