On the characteristic polynomial of supermatrices

DOI10.1007/BF02764010zbMath0918.16020OpenAlexW2037204187MaRDI QIDQ1275690

Jenő Szigeti

Publication date: 14 June 1999

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764010

zbMATH Keywords

Cayley-Hamilton theoremGrassmann algebrassupermatricesintegralitymatrix superalgebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Superalgebras (17A70) Conditions on elements (16U99) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Identities other than those of matrices over commutative rings (16R40)

Related Items (3)

Integrality over fixed rings of automorphisms in a Lie nilpotent setting ⋮ Determinants forn×nmatrices and the symmetric Newton formula in the 3 × 3 case ⋮ A power Cayley-Hamilton identity for \(n \times n\) matrices over a Lie nilpotent ring of index \(k\)

Cites Work

• Unnamed Item
• Cayley-Hamilton theorem for \(2\times 2\) matrices over the Grassmann algebra
• On the identities of the matrices over the Grassmann algebra
• Supertraces and matrices over Grassmann algebras
• Trace Identities and Z/2Z-Graded Invariants
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• On a concept of determinant in the supercase
• Not all graded identities for Mⁿ(E) come from M^n,n
• New determinants and the Cayley-Hamilton Theorem for matrices over Lie nilpotent rings

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