Zobrazeno 1 - 10
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pro vyhledávání: '"Cohen, Arjeh M."'
Autor:
Cohen, Arjeh M.
The correspondence found by Faulkner between inner ideals of the Lie algebra of a simple algebraic group and shadows on long root groups of the building associated with the algebraic group is shown to hold in greater generality (in particular, over p
Externí odkaz:
http://arxiv.org/abs/2010.15897
Autor:
Aschbacher, Michael, Cohen, Arjeh M., Foote, Richard, Guralnick, Robert, Hanlon, Philip, Levaillant, Claire
Publikováno v:
Notices of the American Mathematical Society; Aug2024, Vol. 71 Issue 7, p909-915, 7p
Autor:
Cohen, Arjeh M., Liu, Shoumin
For each n>0, we define an algebra having many properties that one might expect to hold for a Brauer algebra of type Bn. It is defined by means of a presentation by generators and relations. We show that this algebra is a subalgebra of the Brauer alg
Externí odkaz:
http://arxiv.org/abs/1112.4954
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
For each natural number n greater than 1, we define an algebra satisfying many properties that one might expect to hold for a Brauer algebra of type Cn. The monomials of this algebra correspond to scalar multiples of symmetric Brauer diagrams on 2n s
Externí odkaz:
http://arxiv.org/abs/1101.3416
Autor:
Cohen, Arjeh M., Roozemond, Dan A.
Let L be the Lie algebra of a simple algebraic group defined over a field F and let H be a split Cartan subalgebra of L. Then L has a Chevalley basis with respect to H. If the characteristic of F is not 2 or 3, it is known how to find it. In this pap
Externí odkaz:
http://arxiv.org/abs/0901.1717
Let L be a simple finite-dimensional Lie algebra of characteristic distinct from 2 and from 3. Suppose that L contains an extremal element that is not a sandwich, that is, an element x such that [x, [x, L]] is equal to the linear span of x in L. In t
Externí odkaz:
http://arxiv.org/abs/0711.4268
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