نتایج جستجو برای: kazhdan
تعداد نتایج: 804 فیلتر نتایج به سال:
Let w0 denote the permutation [n, n − 1, . . . , 2, 1]. We give two new explicit formulae for the Kazhdan-Lusztig polynomials Pw0w,w0x in Sn when x is a maximal element in the singular locus of the Schubert variety Xw. To do this, we utilize a standard identity that relates Px,w and Pw0w,w0x.
In this note we study simple modules for a reduced enveloping algebra Uχ(g) in the critical case when χ ∈ g ∗ is “nilpotent”. Some dimension formulas computed by Jantzen suggest modified versions of Weyl’s dimension formula, based on certain reflecting hyperplanes for the affine Weyl group which might be associated to Kazhdan–Lusztig cells.
Authors' Names and Affiliations: Ayushi Sinha, William Gray Roncal, Narayanan Kasthuri, Jeff W. Lichtman, Randal Burns, Michael Kazhdan Department of Computer Science, The Johns Hopkins University, Baltimore, MD The Johns Hopkins University Applied Physics Laboratory, Laurel, MD Department of Molecular and Cellular Biology, Harvard University, Cambridge, MA Center for Brain Science, Harvard Uni...
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