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Showing 1 to 9 of 9 for “"Iwahori Hecke"”.
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Higher Specht Polynomials for Representations of Iwahori-Hecke Algebras
… of the higher Specht polynomials to the Hecke algebra 𝓗_𝑞(𝑆_𝑛). These polynomials form a basis of the coinvariant algebra 𝕮 with respect to the action of 𝑆_𝑛, and they will decompose 𝕮 into irreducible representations of the Hecke algebra. These irreducible representations are 𝑞-Specht …
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Untersuchungen zu James' Vermutung über Iwahori-Hecke-Algebren vom Typ A
… Geck about decomposition maps of the generic Iwahori-Hecke algebra H of the symmetric group on n points arising from specialization to characteristic l>0. If the parameter of the algebra is specialized to an element q of GF(l) with multiplicative order e, the conjecture states, that, for el>n, …
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On homomorphisms between specht modules for the Ariki-Koike algebra
… representation theory of both the symmetric and Iwahori-Hecke algebras, and there is hence considerable interest in achieving a greater understanding of their structure. To this end, over the past thirty years there has been much study undertaken of the homomorphism spaces between these modules, …
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On the mod-p representations of unramified U(2,1)
… have classi�ed the simple modules of the pro-p Iwahori-Hecke algebra of G and described the so-called supersingular ones, which is one-dimensional character. Secondly, for the hyperspecial maximal compact open subgroup K0 of G and any irreducible smooth representation � of K0, and for any …
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Combinatorics of affine Springer fibers and combinatorial wall-crossing
… combinatorial constructions is related to the Iwahori-Hecke algebra and the global crystal basis of the basic [ ... ]-module and we provide several conjectures regarding the q-decomposition numbers and generalizations of results due to Fayers. This part is a joint work with Panagiotis Dimakis …
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Relating Thompson's group V to graphs of groups and Hecke algebras
… we describe how one would try to construct a Hecke algebra for $V$, built from copies of the Iwahori-Hecke algebra of $\mathfrak{S}_n$ in a way inspired by how $V$ can be constructed from copies of the symmetric group. We survey attempts to construct this and demonstrate what we believe to be …