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» Poset Representations of Distributive Semilattices
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COMBINATORICS
2006
126views more  COMBINATORICS 2006»
13 years 5 months ago
Constructions of Representations of Rank Two Semisimple Lie Algebras with Distributive Lattices
We associate one or two posets (which we call "semistandard posets") to any given irreducible representation of a rank two semisimple Lie algebra over C. Elsewhere we ha...
L. Wyatt Alverson II, Robert G. Donnelly, Scott J....
EJC
2008
13 years 5 months ago
Labeled posets are universal
Partially ordered sets labeled with k labels (k-posets) and their homomorphisms are examined. The homomorphicity order of k-posets is shown to be a distributive lattice. Homomorph...
Erkko Lehtonen
ACS
2011
13 years 10 days ago
The Patch Construction is Dual to Algebraic DCPO Representation
Using the parallel between the preframe and the suplattice approach to locale theory it is shown that the patch construction, as an action on topologies, is the same thing as the ...
Christopher F. Townsend
DISOPT
2008
82views more  DISOPT 2008»
13 years 5 months ago
Note on pseudolattices, lattices and submodular linear programs
A pseudolattice L is a poset with lattice-type binary operations. Assuming that the pseudolattice permits a modular representation as a family of subsets of a set U with certain c...
Ulrich Faigle, Britta Peis