The shifted plactic monoid
By Luis G. Serrano. 2008
57 citations recorded by the source corpus.
We introduce a shifted analog of the plactic monoid of Lascoux and Schützenberger, the shifted plactic monoid. It can be defined in two different ways: via the shifted Knuth relations, or using Haiman’s mixed insertion. Applications include: a new combinatorial derivation (and a new version of) the shifted Littlewood–Richardson Rule; similar results for the coefficients in the Schur expansion of a Schur P-function; a shifted counterpart of the Lascoux–Schützenberger theory of noncommutative Schur functions in plactic variables; a characterization of shifted tableau words; and more.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/2c6709e184e828c9e0c73c7db3322b524f1aa6fe
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In Algebra and Number Theory
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- Seok-Jin Kang
- Masaki Kashiwara
- Ji Hye Jung
- D. Grantcharov
- D. Hernandez
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- Ghislain Fourier
In Discrete Mathematics and Combinatorics
In Geometry and Topology
- Myungho Kim
- Seok-Jin Kang
- Masaki Kashiwara
- Ji Hye Jung
- D. Grantcharov
- D. Hernandez
- Aaron D. Lauda
- Vyjayanthi Chari
Citations in the corpus
- Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux (2011, methodology): “For our purpose, we slightly change the definition used in [20].”