Abstract
In this work, we define a new proper singular [Formula: see text] matrix to construct a Z 3 -graded calculus on the [Formula: see text]-deformed quantum superplane. Using the obtained calculus, we construct a new [Formula: see text]-deformed Z 3 -graded quantum supergroup and give some features of it. Finally, we build up the Hopf algebra structure of this supergroup.
Keywords
Supergroup
Hopf algebra
Mathematics
Pure mathematics
Construct (python library)
Quantum
Quantum group
Algebra over a field
Matrix (chemical analysis)
Physics
Quantum mechanics
Computer science
Subject Areas
Algebraic structures and combinatorial models
·Geometry and Topology ·Physical Sciences
Advanced Topics in Algebra
·Algebra and Number Theory ·Physical Sciences
Black Holes and Theoretical Physics
·Nuclear and High Energy Physics ·Physical Sciences
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