A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
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The diagonal p$p$‐permutation functor kRk$kR_k$
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let k$k$ be an algebraically closed field of positive characteristic p$p$. We describe the full lattice of subfunctors of the diagonal p$p$‐permutation functor kRk$kR_k$ obtained by k$k$‐linear extension from the functor Rk$R_k$ of linear representations over k$k$. This leads to the description of the “composition factors” SP$S_P$ of kRk$kR_k$,
Serge Bouc
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On the rationality of algebraic monodromy groups of compatible systems
, 2018 Let E be a number field and X be a smooth geometrically connected variety defined over a characteristic p finite field F_q. Given an n-dimensional pure E-compatible system of semisimple \lambda-adic representations \rho_\lambda of the fundamental group ...
Hui, Chun Yin
core
$C^{-\infty}$-Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations [PDF]
, 1990 Hisayosi Matumoto
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Harish-Chandra highest weight representations of semisimple Lie algebras and Lie groups [PDF]
, 2022 R. Fioresi, V. S. Varadarajan
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Relatively dominated representations from eigenvalue gaps and limit maps. [PDF]
Geom Dedic, 2023 Zhu F.
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Embeddings of discrete series into induced representations of semisimple Lie groups, II, -Generalized Whittaker models for $SU(2, 2)$- [PDF]
, 1991 Hiroshi Yamashita
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Representations of Semisimple Lie Groups on a Banach Space [PDF]
, 1951 Harish-chandra Harish-Chandra
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Virtual character modules of semisimple Lie groups and representations of Weyl groups [PDF]
, 1985 Kyo Nishiyama
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