Pieri Rule for GQs Computed via Strict Decomposition Tableaux
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914190608826368 |
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| author | Arroyo, Joshua |
| author_facet | Arroyo, Joshua |
| contents | $GQ$ functions are symmetric functions indexed by strict partitions that represent $K$-theoretic Schubert classes in the Lagrangian Grassmannian. Buch and Ravikumar proved a Pieri rule for expanding $GQ_λ\cdot GQ_p$ in terms of $GQ$s via certain shifted skew tableaux. In this paper we identify an alternative family of shifted tableaux that enumerates this Pieri rule. This partially resolves a conjecture from previous work that these tableaux enumerate the expansion of $GQ_λ \cdot GQ_τ$ in terms of $GQ$s where $τ$ is a trapezoid shape. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05734 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pieri Rule for GQs Computed via Strict Decomposition Tableaux Arroyo, Joshua Combinatorics 05E05 $GQ$ functions are symmetric functions indexed by strict partitions that represent $K$-theoretic Schubert classes in the Lagrangian Grassmannian. Buch and Ravikumar proved a Pieri rule for expanding $GQ_λ\cdot GQ_p$ in terms of $GQ$s via certain shifted skew tableaux. In this paper we identify an alternative family of shifted tableaux that enumerates this Pieri rule. This partially resolves a conjecture from previous work that these tableaux enumerate the expansion of $GQ_λ \cdot GQ_τ$ in terms of $GQ$s where $τ$ is a trapezoid shape. |
| title | Pieri Rule for GQs Computed via Strict Decomposition Tableaux |
| topic | Combinatorics 05E05 |
| url | https://arxiv.org/abs/2511.05734 |