6533b82cfe1ef96bd128f485
RESEARCH PRODUCT
Ordinary and graded cocharacter of the Jordan algebra of 2x2 upper triangular matrices
Alessio CirritoFabrizio Martinosubject
Discrete mathematicsNumerical AnalysisSequenceMultilinear mapPure mathematicsAlgebra and Number TheoryJordan algebraZero (complex analysis)Triangular matrixField (mathematics)Space (mathematics)Representation theoryJordan algebras Polynomial identities Basis of identities Cocharacter Gradings Graded polynomial identitiesSettore MAT/02 - AlgebraDiscrete Mathematics and CombinatoricsGeometry and TopologyMathematicsdescription
Abstract Let F be a field of characteristic zero and U J 2 ( F ) be the Jordan algebra of 2 × 2 upper triangular matrices over F . In this paper we give a complete description of the space of multilinear graded and ordinary identities in the language of Young diagrams through the representation theory of a Young subgroup of S n . For every Z 2 -grading of U J 2 ( F ) we compute the multiplicities in the graded cocharacter sequence and furthermore we compute the ordinary cocharacter.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-06-01 |