2020/02/21 by William M. McGovern, William McGovern, McGovern, William M.
Computer Science · Mathematics · #22E47 #Advanced Algebra and Logic #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Matrix Theory and Algorithms #Representation Theory (math.RT) #math.CO #math.RT #msc:22E47
paper · pdf · doi:10.48550/arxiv.2002.09443
7 pages
arxiv created 2020/02/21 · openalex publication_date 2020/02/21 · arxiv updated 2020/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We exhibit a set of operators on pairs of domino tableaux of the same shape sending them to other such pairs with the same right tableau, in such a way that any two pairs with the same right tableau are conjugate by some composition of the operators. Using these operators we give explicit bases for the isotypic components of a classical Kazhdan-Lusztig left cell in terms of Kazhdan-Lusztig basis vectors.