The algebra of polynomial invariants of the adjoint representation of the Lie superalgebra gl(m,n)

DOI10.1080/00927879708825971zbMath0889.17001OpenAlexW2057834841MaRDI QIDQ4351116

Issai Kantor, Ivan M. Trishin

Publication date: 11 June 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708825971

zbMATH Keywords

graded Lie algebrasLie superalgebrasinvariant theory of Lie superalgebrasinvariant theory of graded Lie algebraspseudo-symmetric functions

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Graded Lie (super)algebras (17B70) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (12)

Supersymmetric elements in divided powers algebras ⋮ Donkin-Koppinen filtration for general linear supergroups. ⋮ Ring-theoretic properties of commutative algebras of invariants. ⋮ Generators of supersymmetric polynomials in positive characteristic ⋮ On rings of supersymmetric polynomials ⋮ Description of costandard modules for Schur superalgebraS(2|1) in positive characteristic ⋮ Central elements in the distribution algebra of a general linear supergroup and supersymmetric elements ⋮ THE AMITSUR–LEVITZKI THEOREM FOR THE ORTHOSYMPLECTIC LIE SUPERALGEBRA 𝔬𝔰𝔭(1, 2n) ⋮ On reduction of elements of the full matrix superalgebra to a block-diagonal form by conjugation ⋮ Berezinians, exterior powers and recurrent sequences ⋮ On the cayley-hamilton equation in the supercase ⋮ On representations of the cayley-hamilton equation in the supercase

Cites Work

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• A characterization of supersymmetric polynomials
• Formulas for powers and functions of matrices
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• On a concept of determinant in the supercase

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