کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493517 | 1334246 | 2005 | 47 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
BMW algebras of simply laced type
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
It is known that the recently discovered representations of the Artin groups of type An, the braid groups, can be constructed via BMW algebras. We introduce similar algebras of type Dn and En which also lead to the newly found faithful representations of the Artin groups of the corresponding types. We establish finite dimensionality of these algebras. Moreover, they have ideals I1 and I2 with I2âI1 such that the quotient with respect to I1 is the Hecke algebra and I1/I2 is a module for the corresponding Artin group generalizing the Lawrence-Krammer representation. Finally we give conjectures on the structure, the dimension and parabolic subalgebras of the BMW algebra, as well as on a generalization of deformations to Brauer algebras for simply laced spherical type other than An.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 286, Issue 1, 1 April 2005, Pages 107-153
Journal: Journal of Algebra - Volume 286, Issue 1, 1 April 2005, Pages 107-153
نویسندگان
Arjeh M. Cohen, Dié A.H. Gijsbers, David B. Wales,