A projection property for Kazhdan-Lusztig bases
R.M. Green, J. Losonczy
TL;DR
This paper investigates the relationship between the canonical basis of a generalized Temperley-Lieb algebra and the Kazhdan-Lusztig basis of the associated Hecke algebra, revealing their structural connections.
Contribution
It provides a comparison and analysis of two important bases in algebraic structures of type A and B, highlighting their similarities and differences.
Findings
Identifies conditions under which the bases coincide
Establishes a projection property linking the bases
Enhances understanding of algebraic basis relationships
Abstract
We compare the canonical basis for a generalized Temperley-Lieb algebra of type A or B with the Kazhdan-Lusztig basis for the corresponding Hecke algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry