Invariants of the orthosymplectic Lie superalgebra and super Pfaffians

DOI10.1007/s00209-016-1789-4zbMath1381.15020arXiv1507.01329OpenAlexW2199992752MaRDI QIDQ2406012

Ruibin Zhang, Gustav Isaac Lehrer

Publication date: 26 September 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01329

zbMATH Keywords

polynomial invariantorthosymplectic Lie superalgebratensor invariantorthosymplectic groupsuper algebraic geometrysuper Pfaffian

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Geometric invariant theory (14L24) Vector and tensor algebra, theory of invariants (15A72) Pfaffian systems (58A17) Supervarieties (14M30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (9)

Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra ⋮ On some central operators for loop Lie superalgebras ⋮ Indecomposable objects in Khovanov-Sazdanovic's generalizations of Deligne's interpolation categories ⋮ Cross products, invariants, and centralizers ⋮ On the second fundamental theorem of invariant theory for the orthosymplectic supergroup ⋮ The first fundamental theorem of invariant theory for the orthosymplectic supergroup ⋮ Mixed partition functions and exponentially bounded edge-connection rank ⋮ Spherical indecomposable representations of Lie superalgebras ⋮ The affine VW supercategory

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