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Abstract Let G be an arbitrary group and let K be a field of characteristic different from 2. We classify the G-gradings on the Jordan algebra UJ n of upper… Click to show full abstract
Abstract Let G be an arbitrary group and let K be a field of characteristic different from 2. We classify the G-gradings on the Jordan algebra UJ n of upper triangular matrices of order n over K. It turns out that there are, up to a graded isomorphism, two families of gradings: the elementary gradings (analogous to the ones in the associative case), and the so called mirror type (MT) gradings. Moreover we prove that the G-gradings on UJ n are uniquely determined, up to a graded isomorphism, by the graded identities they satisfy.
Keywords:
triangular matrices;
jordan algebra;
algebra upper;
group;
gradings jordan;
upper triangular
Journal Title: Linear Algebra and its Applications
Year Published: 2017
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Journal Title: Linear Algebra and its Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!