Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Daniel K. Biss"'
Publikováno v:
Communications in Algebra. 36:632-664
Cayley–Dickson algebras are nonassociative ℝ-algebras that generalize the well-known algebras ℝ, ℂ, ℍ, and 𝕆. We study zero-divisors in these algebras. In particular, we show that the annihilator of any element of the 2 n -dimensional Ca
Publikováno v:
Advances in Mathematics. 185(2):370-399
Let M be a compact, connected symplectic manifold with a Hamiltonian action of a compact n-dimensional torus G=Tn. Suppose that σ is an anti-symplectic involution compatible with the G-action. The real locus of M is X, the fixed point set of σ. Dui
Autor:
Daniel K. Biss
Publikováno v:
Annals of Mathematics. 158:929-952
Stiefel [26] and Whitney [28] and with integral coefficients by Pontrjagin [24], make up the primary source of first-order invariants of smooth manifolds. When their utility was first recognized, it became an obvious goal to study the ways in which t
Autor:
Daniel K. Biss
Publikováno v:
Advances in Mathematics. 179(2):250-290
We introduce a new notion of complex oriented matroid and develop some basic properties of this object. Our definition of complex oriented matroids bears the same relationship to classical oriented matroids that the stratification of the complex plan
Autor:
Daniel K. Biss
Publikováno v:
The American Mathematical Monthly. 110:574-592
the school of the past century is that a mathematical object is in some sense the same as the information needed to encapsulate it. For example, we view a complex vector space Vc as the same as a real vector space VR equipped with an automorphism J s
Autor:
Daniel K. Biss
Publikováno v:
Topology and its Applications. 124:355-371
This article has been retracted: please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy).This article has been retracted at the request of the Editors-in-Chief after receiving a complaint about anomalies in
Autor:
Daniel K. Biss
Publikováno v:
Topology and its Applications. 217:116
Autor:
Samit Dasgupta, Daniel K. Biss
Publikováno v:
Journal of Algebra. 237(2):691-707
For a ring R with identity, define Unipn(R) to be the group of upper-triangular matrices over R all of whose diagonal entries are 1. For i = 1, 2,…,n − 1, let Si denote the matrix whose only nonzero off-diagonal entry is a 1 in the ith row and (i
Autor:
Daniel K. Biss
Publikováno v:
The American Mathematical Monthly. 107:711-720
(2000). A Generalized Approach to the Fundamental Group. The American Mathematical Monthly: Vol. 107, No. 8, pp. 711-720.
Autor:
Daniel K. Biss
Publikováno v:
Discrete Mathematics. 214:89-99
The graph G(N,d) has vertex set V={0,1,…,N−1}, with {v,w} an edge if v−w≡±di(modN) for some 0⩽i⩽⌈logdN⌉−1. We show that the circulant graph G(cdm,d) is Hamilton decomposable for all positive integers c,d, and m with c