6533b839fe1ef96bd12a6e1d

RESEARCH PRODUCT

Y-proper graded cocharacters of upper triangular matrices of order m graded by the m-tuple ϕ=(0,0,1,…,m−2)

Lucio CentroneAlessio Cirrito

subject

CombinatoricsSequenceAlgebra and Number TheoryTriangular matrixOrder (group theory)Field (mathematics)Algebra over a fieldTupleMathematics

description

Abstract Let F be a field of characteristic 0. We consider the algebra UT m ( F ) of upper triangular matrices of order m endowed with an elementary Z m -grading induced by the m-tuple ϕ = ( 0 , 0 , 1 , … , m − 2 ) , then we compute its Y-proper graded cocharacter sequence and we give the explicit formulas for the multiplicities in the case m = 2 , 3 , 4 , 5 .

yearjournalcountryeditionlanguage
2015-03-01Journal of Algebra
https://doi.org/10.1016/j.jalgebra.2014.10.055