کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9493419 1334240 2005 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A two-sided q-analogue of the Coxeter complex
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A two-sided q-analogue of the Coxeter complex
چکیده انگلیسی
We define a complex of bimodules over the Iwahori-Hecke algebra associated to a finite Coxeter group, calculate its cohomology and show that it induces a derived equivalence over its module category extending the Morita equivalence given by a certain algebra automorphism. We show further that when tensored with the index representation this complex becomes isomorphic to the one-sided q-analogue of the Coxeter complex previously defined by V. Deodhar [On some geometric aspects of Bruhat orderings. II. The parabolic analogue of Kazhdan-Lusztig polynomials, J. Algebra 111 (2) (1987) 483-506] and A. Mathas [A q-analogue of the Coxeter complex, J. Algebra 164 (3) (1994) 831-848].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 289, Issue 1, 1 July 2005, Pages 128-134
نویسندگان
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