Add to ORKGWe study a combinatorially-defined double complex structure on the ordered chains of any simplicial complex. Its columns are related to the cell complex Kn whose face poset is isomorphic to the subword ordering on words without repetition from an alphabet of size n. This complex is shellable and as an application we give a representation theoretic interpretation for derangement numbers and a related symmetric function considered by Desarmenien and Wachs. We analyze the two spectral sequences..
AbstractLet (Π,Σ) be a Coxeter system. An ordered list of elements in Σ and an element in Π determin...
Let k be a commutative ring and let A be a k-algebra. Let X be a right module over A and let Y be a ...
AbstractA Hopf algebra of spherical polytopes introduced more than 20 years ago by C.H. Sah, in his ...
Abstract. We study a combinatorially-defined double complex structure on the ordered chains of any s...
AbstractWe study a combinatorially defined double complex structure on the ordered chains of any sim...
Abstract. We define the cohomology categorical groups of a com-plex of symmetric categorical groups,...
Some remarkable connections between commutative algebra and combinatorics have been discovered in re...
Given an abelian category A with enough injectives we show that a short exact sequence of chain comp...
The various results presented in this thesis are naturallysubdivided into three different topics, na...
From a group action on a variety, define a variant of the configuration space by insisting that no t...
In this dissertation we examine the homology of a certain quotient, B(n, k) of the order complex of...
AbstractResolutions which split off of the bar construction are quite common, but explicit formulae ...
2019-04-10In this dissertation I prove various results that encompass multiple fields. Within higher...
Given a finite, graded partially ordered set P, there is an associated simplicial complex of \ud ch...
In Buchsbaum and Rota (1994), the authors presented a generalized bar complex associated to certain ...
AbstractLet (Π,Σ) be a Coxeter system. An ordered list of elements in Σ and an element in Π determin...
Let k be a commutative ring and let A be a k-algebra. Let X be a right module over A and let Y be a ...
AbstractA Hopf algebra of spherical polytopes introduced more than 20 years ago by C.H. Sah, in his ...
Abstract. We study a combinatorially-defined double complex structure on the ordered chains of any s...
AbstractWe study a combinatorially defined double complex structure on the ordered chains of any sim...
Abstract. We define the cohomology categorical groups of a com-plex of symmetric categorical groups,...
Some remarkable connections between commutative algebra and combinatorics have been discovered in re...
Given an abelian category A with enough injectives we show that a short exact sequence of chain comp...
The various results presented in this thesis are naturallysubdivided into three different topics, na...
From a group action on a variety, define a variant of the configuration space by insisting that no t...
In this dissertation we examine the homology of a certain quotient, B(n, k) of the order complex of...
AbstractResolutions which split off of the bar construction are quite common, but explicit formulae ...
2019-04-10In this dissertation I prove various results that encompass multiple fields. Within higher...
Given a finite, graded partially ordered set P, there is an associated simplicial complex of \ud ch...
In Buchsbaum and Rota (1994), the authors presented a generalized bar complex associated to certain ...
AbstractLet (Π,Σ) be a Coxeter system. An ordered list of elements in Σ and an element in Π determin...
Let k be a commutative ring and let A be a k-algebra. Let X be a right module over A and let Y be a ...
AbstractA Hopf algebra of spherical polytopes introduced more than 20 years ago by C.H. Sah, in his ...