Zobrazeno 1 - 10
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pro vyhledávání: '"Wales, David B."'
Autor:
Wales, David B.
This work gives a classification of imprimitive irreducible finite subgroups of the orthogonal group O(7) plus the number of conjugate classes for each group.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1608.07543
Autor:
Cohen, Arjeh M., Wales, David B.
The Birman-Murakami-Wenzl algebras (BMW algebras) of type En for n=6,7,8 are shown to be semisimple and free over a quotient of a polynomial algebra of ranks 1,440,585; 139,613,625; and 53,328,069,225. We also show they are cellular over suitable rin
Externí odkaz:
http://arxiv.org/abs/1101.3544
Autor:
Levaillant, Claire I., Wales, David B.
We show that the Lawrence-Krammer representation based on two parameters that was used by Bigelow and independently Krammer to show the linearity of the braid group is generically irreducible, but that when its parameters are specialized to some nonz
Externí odkaz:
http://arxiv.org/abs/0901.3856
Autor:
Ku, Cheng Yeaw, Wales, David B.
We consider the Cayley graph on the symmetric group Sn generated by derangements. It is well known that the eigenvalues of this grpah are indexed by partitions of n. We investigate how these eigenvalues are determined by the shape of their correspond
Externí odkaz:
http://arxiv.org/abs/0803.2901
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
Autor:
Cohen, Arjeh M., Wales, David B.
Recent results on the linearity of braid groups are extended in two ways. We generalize the Lawrence Krammer representation as well as Krammer's faithfulness proof for this linear representation to Artin groups of finite type.
Comment: 17 pages,
Comment: 17 pages,
Externí odkaz:
http://arxiv.org/abs/math/0010204
We study Lie algebras generated by extremal elements (i.e., elements spanning inner ideals of L) over a field of characteristic distinct from 2. We prove that any Lie algebra generated by a finite number of extremal elements is finite dimensional. Th
Externí odkaz:
http://arxiv.org/abs/math/9903077
Autor:
Ku, Cheng Yeaw, Wales, David B.
Publikováno v:
In Journal of Combinatorial Theory, Series A 2010 117(3):289-312
Publikováno v:
In Journal of Combinatorial Theory, Series A 2006 113(8):1646-1666