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Asymptotic Schur algebras and cellularity of q-Schur algebras

· 2023 · math.RT · arXiv 2305.14633

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abstract

We prove that the q-Schur algebras of finite type introduced in [LW22] are cellular in the sense of Graham and Lehrer, which is a generalization of Geck's theorem on the cellularity of Hecke algebras of finite type. Moreover, we study special modules of the associated asymptotic Schur algebras and left cell representations of Schur algebras, which generalize Lusztig's work about special modules of asymptotic Hecke algebras and left cell representations of Weyl groups, respectively.

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Geometric construction of Schur algebras

math.RT · 2024-11-27 · conditional · novelty 6.0

For any finite type, generalized Schur algebras are realized as convolution algebras in Borel-Moore homology and equivariant K-theory of Steinberg varieties.

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  • Geometric construction of Schur algebras math.RT · 2024-11-27 · conditional · none · ref 9 · internal anchor

    For any finite type, generalized Schur algebras are realized as convolution algebras in Borel-Moore homology and equivariant K-theory of Steinberg varieties.