Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Gijsbers, D. A. H."'
A generalization of the Kauffman tangle algebra is given for Coxeter type Dn. The tangles involve a pole or order 2. The algebra is shown to be isomorphic to the Birman-Murakami-Wenzl algebra of the same type. This result extends the isomorphism betw
Externí odkaz:
http://arxiv.org/abs/0704.2754
The Birman-Murakami-Wenzl algebra (BMW algebra) of type Dn is shown to be semisimple and free of rank (2^n+1)n!!-(2^(n-1)+1)n! over a specified commutative ring R, where n!! is the product of the first n odd integers. We also show it is a cellular al
Externí odkaz:
http://arxiv.org/abs/0704.2743
Let W be a Weyl group whose type is a simply laced Dynkin diagram. On several W-orbits of sets of mutually commuting reflections, a poset is described which plays a role in linear representatons of the corresponding Artin group A. The poset generaliz
Externí odkaz:
http://arxiv.org/abs/math/0502501
It is known that the recently discovered representations of the Artin groups of type A_n, the braid groups, can be constructed via BMW algebras. We introduce similar algebras of type D_n and E_n which also lead to the newly found faithful representat
Externí odkaz:
http://arxiv.org/abs/math/0310011
Publikováno v:
Selecta Mathematica, New Series; Mar2019, Vol. 25 Issue 1, p1-95, 95p
Autor:
Liu, Shoumin
Publikováno v:
Communications in Algebra; 2016, Vol. 44 Issue 12, p5287-5298, 12p
Publikováno v:
Communications in Algebra; Jan2014, Vol. 42 Issue 1, p22-55, 34p
Publikováno v:
Journal of Knot Theory & Its Ramifications; Dec2009, Vol. 18 Issue 12, p1727-1731, 5p