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The peak algebra Pn is a unital subalgebra of the symmetric group algebra,
linearly spanned by sums of permutations with a common set of peaks. By exploiting
the combinatorics of sparse subsets of [...
Smale's Fundamental Theorem of Algebra reconsidered
Smale's Fundamental Theorem Algebra reconsidered Numerical Analysis Algebraic Geometry
2012/4/17
In his 1981 Fundamental Theorem of Algebra paper Steve Smale initiated the complexity theory of finding a solution of polynomial equations of one complex variable by a variant of Newton's method. In t...
Affine SU(N) algebra from wall-crossings
wall-crossings SU(N) algebra High Energy Physics - Theory
2011/10/9
Abstract: We study the relation between the instanton counting on ALE spaces and the BPS state counting on a toric Calabi-Yau three-fold. We put a single D4-brane on a divisor isomorphic to A_{N-1}-AL...