6533b7d6fe1ef96bd1266eea

RESEARCH PRODUCT

Graded Involutions on Upper-triangular Matrix Algebras

A. ValentiMikhail Zaicev

subject

Discrete mathematicsInvolution (mathematics)Pure mathematicsAlgebra and Number TheoryApplied MathematicsTriangular matrixAlgebraically closed fieldAbelian groupComputer Science::Information TheoryMathematics

description

Let UTn be the algebra of n × n upper-triangular matrices over an algebraically closed field of characteristic zero. We describe all G-gradings on UTn by a finite abelian group G commuting with an involution (involution gradings).

https://doi.org/10.1142/s1005386709000121