The canonical basis of the quantum adjoint representation
G. Lusztig
TL;DR
This paper identifies the canonical basis of the quantum adjoint representation by relating it to a previously defined basis, predating the development of the canonical basis theory.
Contribution
It establishes a connection between a pre-existing basis and the canonical basis in the quantum adjoint representation, providing new insights into their relationship.
Findings
The basis matches the canonical basis of the quantum adjoint representation.
The work predates the formal theory of canonical bases.
Provides a foundational link between earlier and modern basis constructions.
Abstract
We identify the canonical basis of the quantum adjoint representation of a quantized enveloping algebra with a basis that we defined before the theory of canonical bases was available.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry