Superinvolutions on block-triangular matrix algebras
Laise Dias, Diogo Diniz, Alex Ramos
TL;DR
This paper classifies superinvolutions on upper block-triangular matrix algebras over algebraically closed fields, providing a comprehensive understanding of their structure and isomorphism classes.
Contribution
It offers a complete classification of superinvolutions on block-triangular matrix algebras, a previously unexplored area in algebra.
Findings
Classification of superinvolutions up to isomorphism
Description of superinvolution structures on block-triangular matrices
Extension of known involution theory to superalgebras
Abstract
In this paper we classify, up to isomorphism, the superinvolutions on algebras of upper block-triangular matrices over an algebraically closed field of characteristic different from .
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Operator Algebra Research