Graded Involutions on Upper-triangular Matrix Algebras

DOI10.1142/S1005386709000121zbMath1186.16053OpenAlexW1987447258MaRDI QIDQ3607459

Angela Valenti, Mikhail V. Zaicev

Publication date: 2 March 2009

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

Full work available at URL: http://www.worldscinet.com/ac/16/1601/S1005386709000121.html

zbMATH Keywords

graded algebraselementary gradingsgroup gradingsupper-triangular matrix algebrasinvolution gradings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (7)

Homogeneous involutions on upper triangular matrices ⋮ Graded linear maps on superalgebras ⋮ Polynomial identities in matrix algebras with pseudoinvolution ⋮ Superinvolutions on upper-triangular matrix algebras ⋮ Degree-inverting involutions on matrix algebras ⋮ Some results concerning the multiplicities of cocharacters of superalgebras with graded involution ⋮ Graded involutions on block-triangular matrix algebras

Cites Work

• Unnamed Item
• Involutions for upper triangular matrix algebras.
• A note on algebra automorphisms of triangular matrices over commutative rings
• Abelian gradings on upper-triangular matrices
• Gradings on simple Jordan and Lie algebras
• Group gradings on full matrix rings
• Group Gradings on Matrix Algebras
• Group gradings on associative algebras

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