Berezinians, exterior powers and recurrent sequences

DOI10.1007/s11005-005-0025-7zbMath1083.58008arXivmath/0309188OpenAlexW2035310891MaRDI QIDQ2583214

Hovhannes M. Khudaverdian, Theodore Th. Voronov

Publication date: 13 January 2006

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309188

zbMATH Keywords

Hankel determinantsrecurrent sequencesBerezinianexterior powers of a superspaceinvariants of supermatrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Supermanifolds and graded manifolds (58A50) Groups and algebras in quantum theory (81R99)

Related Items (14)

Modular class of Lie \(\infty\)-algebroids and adjoint representations ⋮ Differential operators on the superline, Berezinians, and Darboux transformations ⋮ Donkin-Koppinen filtration for general linear supergroups. ⋮ On the Buchstaber–Rees theory of “Frobenius 𝑛-homomorphisms” and its generalization ⋮ Grothendieck rings of basic classical Lie superalgebras ⋮ Higher trace and Berezinian of matrices over a Clifford algebra ⋮ On rings of supersymmetric polynomials ⋮ \(N\)-homogeneous superalgebras. ⋮ Tulczyjew triples and higher Poisson/Schouten structures on Lie algebroids ⋮ Thick morphisms of supermanifolds, quantum mechanics, and spinor representation ⋮ A short proof of the Buchstaber–Rees theorem ⋮ On super Plücker embedding and cluster algebras ⋮ Quantum matrix algebras of the \(\text{GL}(m|n)\) type: the structure and spectral parameterization of the characteristic subalgebra ⋮ Analytic approach to a generalization of Chern classes in supergeometry

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