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Showing 1 to 10 of 10 for “"Kazhdan Lusztig"”.
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Affine Springer Fibers and the Kazhdan-Lusztig Map
… Levi quotient Gₚ. Using the topology of Lie P, Kazhdan and Lusztig define a map from nilpotent orbits in Lie Gₚ to conjugacy classes in W. This thesis proves compatibilities between Kazhdan-Lusztig maps associated to different parahoric subgroups, as well as the Kazhdan-Lusztig map for the …
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Coxeter systems, multiplicity free representations, and twisted Kazhdan-Lusztig Theory
… the set of "unipotent characters" Uch(W) which Lusztig has attached to each finite, irreducible Coxeter system (W, S). We describe a precise sense in which the irreducible multiplicities of a certain W-representation can be used to define a function which serves naturally as a heuristic …
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Kazhdan-Lusztig polynomials and cells for affine Weyl groups and unequal parameters
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1996.
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Kazhdan-Lusztig-Basen, unzerlegbare Bimoduln und die Topologie der Fahnenmannigfaltigkeit einer Kac-Moody-Gruppe
… einbetten läßt, <br>daß die Elemente ihrer Kazhdan-Lusztig-Basis genau den unzerlegbaren unter <br>den betrachteten Bimoduln entsprechen. <br> <br>Dazu wird der rekursive Algorithmus zur Berechnung der Kazhdan-Lusztig-Basis <br>auf die Geometrie der Fahnenmannigfaltigkeit der zugehörigen …
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Der Kombinatorikfunktor V : graduierte Kategorie O, Hauptserien und primitive Ideale
… wird durch Elemente der Heckealgebra und Kazhdan-Lusztig-Polynome beschrieben. Mit Hilfe des von A. Joseph definierten Vervollständigungsfunktor werden Homomorphismen und Erweiterungen von Hauptserien bestimmt. Deren graduierte Versionen liefern schließlich Resultate über Quotienten der …
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Untersuchungen zu James' Vermutung über Iwahori-Hecke-Algebren vom Typ A
… representations seem to arise naturally from the Kazhdan-Lusztig cell modules. Another possible attack for a proof stems from another result of the present thesis, an explicit construction of a Wedderburn decomposition for H using the Kazhdan-Lusztig basis.
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Diagrams and reduced decompositions for cominuscule flag varieties and affine Grassmannians.
… unlabelled intervals, and more generally, that Kazhdan-Lusztig polynomials associated to cominuscule flag varieties are combinatorially invariant. In the second case, we are able to provide a list of the rationally smooth Schubert varieties in simply laced affine Grassmannians corresponding to …
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Combinatorics of affine Springer fibers and combinatorial wall-crossing
… components. We also study the lowest two-sided Kazhdan-Lusztig cell and establish a connection with the affine Springer fibers, which is compatible with the affine matrix ball construction algorithm. The results also prove a special case of Lusztig's conjecture. The work in this part include …
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A Coherent Categorification of the Asymptotic Affine Hecke Algebra
Kazhdan–Lusztig categorified the affine Hecke algebra H in terms of equivariant coherent sheaves on the Steinberg variety. Recently, Ben-Zvi–Chen–Helm–Nadler have applied the formalism of categorical traces to construct a "coherent Springer sheaf" on a moduli stack of Deligne–Langlands parameters …