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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Cohen-Macaulay Auslander algebra of string algebras
串代数 Cohen—Macaulay—Auslander代数 拓扑 同调
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2023/11/13
In these two talks, some results on derived representation type via topological and homological methods will be introduced: (1) Two geometric models for graded skew-gentle algebras will be introduced ...
NEW RESULTS ON THE PEAK ALGEBRA
Solomon’s descent algebra peak algebra signed permutation
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2015/8/14
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
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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
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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...