8 citations · 13 across the 5 of their papers we have counts for
5 papers
Eigentheory of Cayley-Dickson algebras
Daniel K. Biss, J. Daniel Christensen, Daniel Dugger +1
We show how eigentheory clarifies many algebraic properties of Cayley-Dickson algebras. These notes are intended as background material for those who are studying this eigentheory…
Large annihilators in Cayley-Dickson algebras II
Daniel K. Biss, J. Daniel Christensen, Daniel Dugger +1
We establish many previously unknown properties of zero-divisors in Cayley-Dickson algebras. The basic approach is to use a certain splitting that simplifies computations surprisin…
Large annihilators in Cayley-Dickson algebras
Daniel K. Biss, Daniel Dugger, Daniel C. Isaksen
Cayley-Dickson algebras are an infinite sequence of non-associative algebras starting with the reals, complexes, quaternions, and octonions. We study the zero-divisors in the highe…
K_g is not finitely generated
Daniel Biss, Benson Farb
We prove that for any genus g>1, the subgroup K_g of the mapping class group of a closed genus g surface generated by Dehn twists about separating curves is not finitely generated.
The mod 2 cohomology of fixed point sets of anti-symplectic involutions
Daniel Biss, Victor W. Guillemin, Tara S. Holm
Let be a compact, connected symplectic manifold with a Hamiltonian action of a compact -dimensional torus . Suppose that is an anti-symplectic involution compatib…