Generalized Virtual Braid Groups, Quasi-Shuffle Product and Quantum Groups

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Flat Connections, Braid Groups and Quantum Groups

In this talk, I will describe how quantum groups serve as a useful means of expressing the monodromy of certain integrable, first order PDE’s. A fundamental, and paradigmatic result in this context is the Kohno–Drinfeld theorem. Roughly speaking, it asserts that the representations of Artin’s braid groups on n strands given by the universal R-matrix of a quantum group describe the monodromy of ...

متن کامل

Dynnikov coordinates on virtual braid groups

We define Dynnikov coordinates on virtual braid groups. We prove that they are faithful invariants of virtual 2-braids, and present evidence that they are also very powerful invariants for general virtual braids.

متن کامل

Irreducibility of the tensor product of Albeverio's representations of the Braid groups $B_3$ and $B_4$

‎We consider Albeverio's linear representations of the braid groups $B_3$ and $B_4$‎. ‎We specialize the indeterminates used in defining these representations to non zero complex numbers‎. ‎We then consider the tensor products of the representations of $B_3$ and the tensor products of those of $B_4$‎. ‎We then determine necessary and sufficient conditions that guarantee the irreducibility of th...

متن کامل

Chevalley groups, reflections groups, braid groups

Program Monday 08h30-09h30 G. Lusztig: On the cleanness of cuspidal character sheaves. 09h45-10h45 P. Achar: Derived Satake equivalence and geometric restriction to a Levi subgroup. 11h15-12h15 G. Williamson: Generators and relations for Soergel bimodules. Tuesday 08h30-09h30 O. Brunat: On semisimple classes in finite reductive groups. 09h45-10h45 R. Charney: Groups Associated to Random Graphs....

متن کامل

Quasi-isometrically Embedded Subgroups of Braid and Diffeomorphism Groups

We show that a large class of right-angled Artin groups (in particular, those with planar complementary defining graph) can be embedded quasi-isometrically in pure braid groups and in the group Diff(D2, ∂D2, vol) of area preserving diffeomorphisms of the disk fixing the boundary (with respect to the L2-norm metric); this extends results of Benaim and Gambaudo who gave quasi-isometric embeddings...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2014

ISSN: 1687-0247,1073-7928

DOI: 10.1093/imrn/rnt343