|
|
|
|
irreducibility of some tensor product of albeverio's representations of the braid groups b3 and b4
|
|
|
|
|
|
|
|
نویسنده
|
taha a. m. ,abdulrahim m. n.
|
|
منبع
|
journal of linear and topological algebra - 2019 - دوره : 8 - شماره : 2 - صفحه:105 -115
|
|
چکیده
|
We consider albeverio's linear representations of the braid groups b3 and b4. we specialize the indeterminates used in defining these representations to non zero complex numbers. we then consider the tensor products of the representations of b3 and the tensor products of those of b4. we then determine necessary and sufficient conditions that guarantee the irreducibility of the tensor products of the representations of b3. as for the tensor products of the representations of b4, we only find sufficient conditions for the irreducibility of the tensor product.
|
|
کلیدواژه
|
braid group ,irreducible
|
|
آدرس
|
beirut arab university, department of mathematics and computer science, lebanon, beirut arab university, department of mathematics and computer science, lebanon
|
|
پست الکترونیکی
|
mna@bau.edu.lb
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|